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Finding the Fourth Proportional to 156,680, 216,218.40 and 86,024

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Solution

The fourth proportional to 156,680, 216,218.40 and 86,024 is: 118,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,680 : 216,218.40 = 86,024 : x
  2. Step 2: Convert to fraction form
    156,680/216,218.40 = 86,024/x
  3. Step 3: Cross multiply
    156,680x = 216,218.40 × 86,024
  4. Step 4: Simplify right side
    156,680x = 18,599,971,641.60
  5. Step 5: Solve for x
    x = 18,599,971,641.60/156,680
  6. Step 6: Final answer
    x = 118,713.12

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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.