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Finding the Fourth Proportional to 261,810.06, 392,723.61 and 72,284.64

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Solution

The fourth proportional to 261,810.06, 392,723.61 and 72,284.64 is: 108,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810.06 : 392,723.61 = 72,284.64 : x
  2. Step 2: Convert to fraction form
    261,810.06/392,723.61 = 72,284.64/x
  3. Step 3: Cross multiply
    261,810.06x = 392,723.61 × 72,284.64
  4. Step 4: Simplify right side
    261,810.06x = 28,387,884,768.35
  5. Step 5: Solve for x
    x = 28,387,884,768.35/261,810.06
  6. Step 6: Final answer
    x = 108,429.31

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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.