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Finding the Fourth Proportional to 65,846.40, 98,721.96 and 39,129.06

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Solution

The fourth proportional to 65,846.40, 98,721.96 and 39,129.06 is: 58,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846.40 : 98,721.96 = 39,129.06 : x
  2. Step 2: Convert to fraction form
    65,846.40/98,721.96 = 39,129.06/x
  3. Step 3: Cross multiply
    65,846.40x = 98,721.96 × 39,129.06
  4. Step 4: Simplify right side
    65,846.40x = 3,862,897,496.16
  5. Step 5: Solve for x
    x = 3,862,897,496.16/65,846.40
  6. Step 6: Final answer
    x = 58,665.28

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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.