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Finding the Fourth Proportional to 261,486.64, 392,235.42 and 74,498.14

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Solution

The fourth proportional to 261,486.64, 392,235.42 and 74,498.14 is: 111,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,486.64 : 392,235.42 = 74,498.14 : x
  2. Step 2: Convert to fraction form
    261,486.64/392,235.42 = 74,498.14/x
  3. Step 3: Cross multiply
    261,486.64x = 392,235.42 × 74,498.14
  4. Step 4: Simplify right side
    261,486.64x = 29,220,809,232.12
  5. Step 5: Solve for x
    x = 29,220,809,232.12/261,486.64
  6. Step 6: Final answer
    x = 111,748.77

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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.