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Finding the Fourth Proportional to 261,735.64, 392,666.10 and 84,259.24

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Solution

The fourth proportional to 261,735.64, 392,666.10 and 84,259.24 is: 126,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,735.64 : 392,666.10 = 84,259.24 : x
  2. Step 2: Convert to fraction form
    261,735.64/392,666.10 = 84,259.24/x
  3. Step 3: Cross multiply
    261,735.64x = 392,666.10 × 84,259.24
  4. Step 4: Simplify right side
    261,735.64x = 33,085,747,159.76
  5. Step 5: Solve for x
    x = 33,085,747,159.76/261,735.64
  6. Step 6: Final answer
    x = 126,409.03

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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.