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Finding the Fourth Proportional to 116,762.60, 175,306.10 and 81,140

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Solution

The fourth proportional to 116,762.60, 175,306.10 and 81,140 is: 121,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,762.60 : 175,306.10 = 81,140 : x
  2. Step 2: Convert to fraction form
    116,762.60/175,306.10 = 81,140/x
  3. Step 3: Cross multiply
    116,762.60x = 175,306.10 × 81,140
  4. Step 4: Simplify right side
    116,762.60x = 14,224,336,954
  5. Step 5: Solve for x
    x = 14,224,336,954/116,762.60
  6. Step 6: Final answer
    x = 121,822.72

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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.