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Finding the Fourth Proportional to 156,710.32, 216,264 and 85,093.36

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Solution

The fourth proportional to 156,710.32, 216,264 and 85,093.36 is: 117,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,710.32 : 216,264 = 85,093.36 : x
  2. Step 2: Convert to fraction form
    156,710.32/216,264 = 85,093.36/x
  3. Step 3: Cross multiply
    156,710.32x = 216,264 × 85,093.36
  4. Step 4: Simplify right side
    156,710.32x = 18,402,630,407.04
  5. Step 5: Solve for x
    x = 18,402,630,407.04/156,710.32
  6. Step 6: Final answer
    x = 117,430.88

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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.