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Finding the Fourth Proportional to 157,830.60, 217,811.46 and 86,217.30

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Solution

The fourth proportional to 157,830.60, 217,811.46 and 86,217.30 is: 118,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830.60 : 217,811.46 = 86,217.30 : x
  2. Step 2: Convert to fraction form
    157,830.60/217,811.46 = 86,217.30/x
  3. Step 3: Cross multiply
    157,830.60x = 217,811.46 × 86,217.30
  4. Step 4: Simplify right side
    157,830.60x = 18,779,115,990.26
  5. Step 5: Solve for x
    x = 18,779,115,990.26/157,830.60
  6. Step 6: Final answer
    x = 118,982.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.