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Finding the Fourth Proportional to 87,384, 130,794.06 and 45,206.01

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Solution

The fourth proportional to 87,384, 130,794.06 and 45,206.01 is: 67,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,384 : 130,794.06 = 45,206.01 : x
  2. Step 2: Convert to fraction form
    87,384/130,794.06 = 45,206.01/x
  3. Step 3: Cross multiply
    87,384x = 130,794.06 × 45,206.01
  4. Step 4: Simplify right side
    87,384x = 5,912,677,584.30
  5. Step 5: Solve for x
    x = 5,912,677,584.30/87,384
  6. Step 6: Final answer
    x = 67,663.16

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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.