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Finding the Fourth Proportional to 117,710.30, 176,565.45 and 75,719.90

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Solution

The fourth proportional to 117,710.30, 176,565.45 and 75,719.90 is: 113,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,710.30 : 176,565.45 = 75,719.90 : x
  2. Step 2: Convert to fraction form
    117,710.30/176,565.45 = 75,719.90/x
  3. Step 3: Cross multiply
    117,710.30x = 176,565.45 × 75,719.90
  4. Step 4: Simplify right side
    117,710.30x = 13,369,518,217.46
  5. Step 5: Solve for x
    x = 13,369,518,217.46/117,710.30
  6. Step 6: Final answer
    x = 113,579.85

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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.