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Finding the Fourth Proportional to 137,353.28, 189,515.04 and 77,737.28

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Solution

The fourth proportional to 137,353.28, 189,515.04 and 77,737.28 is: 107,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.28 : 189,515.04 = 77,737.28 : x
  2. Step 2: Convert to fraction form
    137,353.28/189,515.04 = 77,737.28/x
  3. Step 3: Cross multiply
    137,353.28x = 189,515.04 × 77,737.28
  4. Step 4: Simplify right side
    137,353.28x = 14,732,383,728.69
  5. Step 5: Solve for x
    x = 14,732,383,728.69/137,353.28
  6. Step 6: Final answer
    x = 107,259.06

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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.