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Finding the Fourth Proportional to 286,691.54, 430,038.68 and 87,013.65

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Solution

The fourth proportional to 286,691.54, 430,038.68 and 87,013.65 is: 130,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,691.54 : 430,038.68 = 87,013.65 : x
  2. Step 2: Convert to fraction form
    286,691.54/430,038.68 = 87,013.65/x
  3. Step 3: Cross multiply
    286,691.54x = 430,038.68 × 87,013.65
  4. Step 4: Simplify right side
    286,691.54x = 37,419,234,752.91
  5. Step 5: Solve for x
    x = 37,419,234,752.91/286,691.54
  6. Step 6: Final answer
    x = 130,520.89

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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.