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Finding the Fourth Proportional to 89,990.16, 134,988.87 and 30,831.81

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Solution

The fourth proportional to 89,990.16, 134,988.87 and 30,831.81 is: 46,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,990.16 : 134,988.87 = 30,831.81 : x
  2. Step 2: Convert to fraction form
    89,990.16/134,988.87 = 30,831.81/x
  3. Step 3: Cross multiply
    89,990.16x = 134,988.87 × 30,831.81
  4. Step 4: Simplify right side
    89,990.16x = 4,161,951,191.95
  5. Step 5: Solve for x
    x = 4,161,951,191.95/89,990.16
  6. Step 6: Final answer
    x = 46,248.96

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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.