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Finding the Fourth Proportional to 261,415.60, 392,253.12 and 103,640.56

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Solution

The fourth proportional to 261,415.60, 392,253.12 and 103,640.56 is: 155,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,415.60 : 392,253.12 = 103,640.56 : x
  2. Step 2: Convert to fraction form
    261,415.60/392,253.12 = 103,640.56/x
  3. Step 3: Cross multiply
    261,415.60x = 392,253.12 × 103,640.56
  4. Step 4: Simplify right side
    261,415.60x = 40,653,333,018.55
  5. Step 5: Solve for x
    x = 40,653,333,018.55/261,415.60
  6. Step 6: Final answer
    x = 155,512.27

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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.