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Finding the Fourth Proportional to 137,366.76, 189,560.88 and 76,934.40

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Solution

The fourth proportional to 137,366.76, 189,560.88 and 76,934.40 is: 106,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,366.76 : 189,560.88 = 76,934.40 : x
  2. Step 2: Convert to fraction form
    137,366.76/189,560.88 = 76,934.40/x
  3. Step 3: Cross multiply
    137,366.76x = 189,560.88 × 76,934.40
  4. Step 4: Simplify right side
    137,366.76x = 14,583,752,566.27
  5. Step 5: Solve for x
    x = 14,583,752,566.27/137,366.76
  6. Step 6: Final answer
    x = 106,166.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.