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Finding the Fourth Proportional to 100,831.70, 151,320.45 and 56,411.30

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Solution

The fourth proportional to 100,831.70, 151,320.45 and 56,411.30 is: 84,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,831.70 : 151,320.45 = 56,411.30 : x
  2. Step 2: Convert to fraction form
    100,831.70/151,320.45 = 56,411.30/x
  3. Step 3: Cross multiply
    100,831.70x = 151,320.45 × 56,411.30
  4. Step 4: Simplify right side
    100,831.70x = 8,536,183,301.09
  5. Step 5: Solve for x
    x = 8,536,183,301.09/100,831.70
  6. Step 6: Final answer
    x = 84,657.73

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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.