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Finding the Fourth Proportional to 90,423, 135,663.12 and 40,545.90

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Solution

The fourth proportional to 90,423, 135,663.12 and 40,545.90 is: 60,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,423 : 135,663.12 = 40,545.90 : x
  2. Step 2: Convert to fraction form
    90,423/135,663.12 = 40,545.90/x
  3. Step 3: Cross multiply
    90,423x = 135,663.12 × 40,545.90
  4. Step 4: Simplify right side
    90,423x = 5,500,583,297.21
  5. Step 5: Solve for x
    x = 5,500,583,297.21/90,423
  6. Step 6: Final answer
    x = 60,831.68

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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.