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Finding the Fourth Proportional to 157,770.12, 217,731.62 and 86,156.80

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Solution

The fourth proportional to 157,770.12, 217,731.62 and 86,156.80 is: 118,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,770.12 : 217,731.62 = 86,156.80 : x
  2. Step 2: Convert to fraction form
    157,770.12/217,731.62 = 86,156.80/x
  3. Step 3: Cross multiply
    157,770.12x = 217,731.62 × 86,156.80
  4. Step 4: Simplify right side
    157,770.12x = 18,759,059,638.02
  5. Step 5: Solve for x
    x = 18,759,059,638.02/157,770.12
  6. Step 6: Final answer
    x = 118,901.22

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1.5x scale

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.