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Finding the Fourth Proportional to 145,660, 218,501.86 and 40,478.98

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Solution

The fourth proportional to 145,660, 218,501.86 and 40,478.98 is: 60,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,660 : 218,501.86 = 40,478.98 : x
  2. Step 2: Convert to fraction form
    145,660/218,501.86 = 40,478.98/x
  3. Step 3: Cross multiply
    145,660x = 218,501.86 × 40,478.98
  4. Step 4: Simplify right side
    145,660x = 8,844,732,420.90
  5. Step 5: Solve for x
    x = 8,844,732,420.90/145,660
  6. Step 6: Final answer
    x = 60,721.77

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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.