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Finding the Fourth Proportional to 137,305.50, 189,484.47 and 77,689.50

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Solution

The fourth proportional to 137,305.50, 189,484.47 and 77,689.50 is: 107,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,305.50 : 189,484.47 = 77,689.50 : x
  2. Step 2: Convert to fraction form
    137,305.50/189,484.47 = 77,689.50/x
  3. Step 3: Cross multiply
    137,305.50x = 189,484.47 × 77,689.50
  4. Step 4: Simplify right side
    137,305.50x = 14,720,953,732.07
  5. Step 5: Solve for x
    x = 14,720,953,732.07/137,305.50
  6. Step 6: Final answer
    x = 107,213.14

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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.