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Finding the Fourth Proportional to 91,434.29, 137,026.80 and 55,908

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Solution

The fourth proportional to 91,434.29, 137,026.80 and 55,908 is: 83,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,434.29 : 137,026.80 = 55,908 : x
  2. Step 2: Convert to fraction form
    91,434.29/137,026.80 = 55,908/x
  3. Step 3: Cross multiply
    91,434.29x = 137,026.80 × 55,908
  4. Step 4: Simplify right side
    91,434.29x = 7,660,894,334.40
  5. Step 5: Solve for x
    x = 7,660,894,334.40/91,434.29
  6. Step 6: Final answer
    x = 83,785.80

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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.