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Finding the Fourth Proportional to 77,272, 106,641.84 and 48,967.36

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Solution

The fourth proportional to 77,272, 106,641.84 and 48,967.36 is: 67,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,272 : 106,641.84 = 48,967.36 : x
  2. Step 2: Convert to fraction form
    77,272/106,641.84 = 48,967.36/x
  3. Step 3: Cross multiply
    77,272x = 106,641.84 × 48,967.36
  4. Step 4: Simplify right side
    77,272x = 5,221,969,370.34
  5. Step 5: Solve for x
    x = 5,221,969,370.34/77,272
  6. Step 6: Final answer
    x = 67,579.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.