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Finding the Fourth Proportional to 156,780, 216,356.40 and 86,124

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Solution

The fourth proportional to 156,780, 216,356.40 and 86,124 is: 118,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 216,356.40 = 86,124 : x
  2. Step 2: Convert to fraction form
    156,780/216,356.40 = 86,124/x
  3. Step 3: Cross multiply
    156,780x = 216,356.40 × 86,124
  4. Step 4: Simplify right side
    156,780x = 18,633,478,593.60
  5. Step 5: Solve for x
    x = 18,633,478,593.60/156,780
  6. Step 6: Final answer
    x = 118,851.12

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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.