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Finding the Fourth Proportional to 86,833.60, 130,250.40 and 31,422.40

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Solution

The fourth proportional to 86,833.60, 130,250.40 and 31,422.40 is: 47,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,833.60 : 130,250.40 = 31,422.40 : x
  2. Step 2: Convert to fraction form
    86,833.60/130,250.40 = 31,422.40/x
  3. Step 3: Cross multiply
    86,833.60x = 130,250.40 × 31,422.40
  4. Step 4: Simplify right side
    86,833.60x = 4,092,780,168.96
  5. Step 5: Solve for x
    x = 4,092,780,168.96/86,833.60
  6. Step 6: Final answer
    x = 47,133.60

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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.