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Finding the Fourth Proportional to 282,148.91, 423,221.90 and 99,914.90

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Solution

The fourth proportional to 282,148.91, 423,221.90 and 99,914.90 is: 149,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,148.91 : 423,221.90 = 99,914.90 : x
  2. Step 2: Convert to fraction form
    282,148.91/423,221.90 = 99,914.90/x
  3. Step 3: Cross multiply
    282,148.91x = 423,221.90 × 99,914.90
  4. Step 4: Simplify right side
    282,148.91x = 42,286,171,200.63
  5. Step 5: Solve for x
    x = 42,286,171,200.63/282,148.91
  6. Step 6: Final answer
    x = 149,871.82

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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.