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Finding the Fourth Proportional to 135,285.59, 202,706.75 and 72,038.57

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Solution

The fourth proportional to 135,285.59, 202,706.75 and 72,038.57 is: 107,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,285.59 : 202,706.75 = 72,038.57 : x
  2. Step 2: Convert to fraction form
    135,285.59/202,706.75 = 72,038.57/x
  3. Step 3: Cross multiply
    135,285.59x = 202,706.75 × 72,038.57
  4. Step 4: Simplify right side
    135,285.59x = 14,602,703,565.91
  5. Step 5: Solve for x
    x = 14,602,703,565.91/135,285.59
  6. Step 6: Final answer
    x = 107,939.83

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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.