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Finding the Fourth Proportional to 60,432,642.80, 90,456,070.80 and 47,678,058.80

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Solution

The fourth proportional to 60,432,642.80, 90,456,070.80 and 47,678,058.80 is: 71,364,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,432,642.80 : 90,456,070.80 = 47,678,058.80 : x
  2. Step 2: Convert to fraction form
    60,432,642.80/90,456,070.80 = 47,678,058.80/x
  3. Step 3: Cross multiply
    60,432,642.80x = 90,456,070.80 × 47,678,058.80
  4. Step 4: Simplify right side
    60,432,642.80x = 4,312,769,862,419,362.50
  5. Step 5: Solve for x
    x = 4,312,769,862,419,362.50/60,432,642.80
  6. Step 6: Final answer
    x = 71,364,905.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.