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Finding the Fourth Proportional to 261,201.60, 391,802.40 and 83,835.90

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Solution

The fourth proportional to 261,201.60, 391,802.40 and 83,835.90 is: 125,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,201.60 : 391,802.40 = 83,835.90 : x
  2. Step 2: Convert to fraction form
    261,201.60/391,802.40 = 83,835.90/x
  3. Step 3: Cross multiply
    261,201.60x = 391,802.40 × 83,835.90
  4. Step 4: Simplify right side
    261,201.60x = 32,847,106,826.16
  5. Step 5: Solve for x
    x = 32,847,106,826.16/261,201.60
  6. Step 6: Final answer
    x = 125,753.85

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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.