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Finding the Fourth Proportional to 87,285.64, 130,985.86 and 47,870.42

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Solution

The fourth proportional to 87,285.64, 130,985.86 and 47,870.42 is: 71,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,285.64 : 130,985.86 = 47,870.42 : x
  2. Step 2: Convert to fraction form
    87,285.64/130,985.86 = 47,870.42/x
  3. Step 3: Cross multiply
    87,285.64x = 130,985.86 × 47,870.42
  4. Step 4: Simplify right side
    87,285.64x = 6,270,348,132.26
  5. Step 5: Solve for x
    x = 6,270,348,132.26/87,285.64
  6. Step 6: Final answer
    x = 71,837.11

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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.