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Finding the Fourth Proportional to 137,052, 189,132.08 and 77,436

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Solution

The fourth proportional to 137,052, 189,132.08 and 77,436 is: 106,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,052 : 189,132.08 = 77,436 : x
  2. Step 2: Convert to fraction form
    137,052/189,132.08 = 77,436/x
  3. Step 3: Cross multiply
    137,052x = 189,132.08 × 77,436
  4. Step 4: Simplify right side
    137,052x = 14,645,631,746.88
  5. Step 5: Solve for x
    x = 14,645,631,746.88/137,052
  6. Step 6: Final answer
    x = 106,861.86

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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.