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Finding the Fourth Proportional to 156,393.47, 216,002.35 and 102,917.22

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Solution

The fourth proportional to 156,393.47, 216,002.35 and 102,917.22 is: 142,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,393.47 : 216,002.35 = 102,917.22 : x
  2. Step 2: Convert to fraction form
    156,393.47/216,002.35 = 102,917.22/x
  3. Step 3: Cross multiply
    156,393.47x = 216,002.35 × 102,917.22
  4. Step 4: Simplify right side
    156,393.47x = 22,230,360,115.20
  5. Step 5: Solve for x
    x = 22,230,360,115.20/156,393.47
  6. Step 6: Final answer
    x = 142,143.79

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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.