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Finding the Fourth Proportional to 156,762.72, 216,334.80 and 85,142.88

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Solution

The fourth proportional to 156,762.72, 216,334.80 and 85,142.88 is: 117,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,762.72 : 216,334.80 = 85,142.88 : x
  2. Step 2: Convert to fraction form
    156,762.72/216,334.80 = 85,142.88/x
  3. Step 3: Cross multiply
    156,762.72x = 216,334.80 × 85,142.88
  4. Step 4: Simplify right side
    156,762.72x = 18,419,367,916.22
  5. Step 5: Solve for x
    x = 18,419,367,916.22/156,762.72
  6. Step 6: Final answer
    x = 117,498.39

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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.