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Finding the Fourth Proportional to 286,776.79, 430,137.17 and 87,098.90

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Solution

The fourth proportional to 286,776.79, 430,137.17 and 87,098.90 is: 130,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776.79 : 430,137.17 = 87,098.90 : x
  2. Step 2: Convert to fraction form
    286,776.79/430,137.17 = 87,098.90/x
  3. Step 3: Cross multiply
    286,776.79x = 430,137.17 × 87,098.90
  4. Step 4: Simplify right side
    286,776.79x = 37,464,472,096.55
  5. Step 5: Solve for x
    x = 37,464,472,096.55/286,776.79
  6. Step 6: Final answer
    x = 130,639.83

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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.