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Finding the Fourth Proportional to 261,430, 392,094.96 and 101,505.92

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Solution

The fourth proportional to 261,430, 392,094.96 and 101,505.92 is: 152,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,430 : 392,094.96 = 101,505.92 : x
  2. Step 2: Convert to fraction form
    261,430/392,094.96 = 101,505.92/x
  3. Step 3: Cross multiply
    261,430x = 392,094.96 × 101,505.92
  4. Step 4: Simplify right side
    261,430x = 39,799,959,642.16
  5. Step 5: Solve for x
    x = 39,799,959,642.16/261,430
  6. Step 6: Final answer
    x = 152,239.45

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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.