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Finding the Fourth Proportional to 114,251.28, 157,685.44 and 78,411.84

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Solution

The fourth proportional to 114,251.28, 157,685.44 and 78,411.84 is: 108,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251.28 : 157,685.44 = 78,411.84 : x
  2. Step 2: Convert to fraction form
    114,251.28/157,685.44 = 78,411.84/x
  3. Step 3: Cross multiply
    114,251.28x = 157,685.44 × 78,411.84
  4. Step 4: Simplify right side
    114,251.28x = 12,364,405,491.61
  5. Step 5: Solve for x
    x = 12,364,405,491.61/114,251.28
  6. Step 6: Final answer
    x = 108,221.16

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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.