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Finding the Fourth Proportional to 118,890.42, 178,412.88 and 51,488.28

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Solution

The fourth proportional to 118,890.42, 178,412.88 and 51,488.28 is: 77,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,890.42 : 178,412.88 = 51,488.28 : x
  2. Step 2: Convert to fraction form
    118,890.42/178,412.88 = 51,488.28/x
  3. Step 3: Cross multiply
    118,890.42x = 178,412.88 × 51,488.28
  4. Step 4: Simplify right side
    118,890.42x = 9,186,172,321.05
  5. Step 5: Solve for x
    x = 9,186,172,321.05/118,890.42
  6. Step 6: Final answer
    x = 77,265.87

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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.