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Finding the Fourth Proportional to 135,545.37, 187,053.69 and 75,117

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Solution

The fourth proportional to 135,545.37, 187,053.69 and 75,117 is: 103,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,545.37 : 187,053.69 = 75,117 : x
  2. Step 2: Convert to fraction form
    135,545.37/187,053.69 = 75,117/x
  3. Step 3: Cross multiply
    135,545.37x = 187,053.69 × 75,117
  4. Step 4: Simplify right side
    135,545.37x = 14,050,912,031.73
  5. Step 5: Solve for x
    x = 14,050,912,031.73/135,545.37
  6. Step 6: Final answer
    x = 103,662.06

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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.