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Finding the Fourth Proportional to 78,062.88, 117,011.32 and 40,585.40

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Solution

The fourth proportional to 78,062.88, 117,011.32 and 40,585.40 is: 60,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.88 : 117,011.32 = 40,585.40 : x
  2. Step 2: Convert to fraction form
    78,062.88/117,011.32 = 40,585.40/x
  3. Step 3: Cross multiply
    78,062.88x = 117,011.32 × 40,585.40
  4. Step 4: Simplify right side
    78,062.88x = 4,748,951,226.73
  5. Step 5: Solve for x
    x = 4,748,951,226.73/78,062.88
  6. Step 6: Final answer
    x = 60,834.95

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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.