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Finding the Fourth Proportional to 286,753.98, 430,103.16 and 87,076.10

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Solution

The fourth proportional to 286,753.98, 430,103.16 and 87,076.10 is: 130,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,753.98 : 430,103.16 = 87,076.10 : x
  2. Step 2: Convert to fraction form
    286,753.98/430,103.16 = 87,076.10/x
  3. Step 3: Cross multiply
    286,753.98x = 430,103.16 × 87,076.10
  4. Step 4: Simplify right side
    286,753.98x = 37,451,703,619.96
  5. Step 5: Solve for x
    x = 37,451,703,619.96/286,753.98
  6. Step 6: Final answer
    x = 130,605.70

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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.