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Finding the Fourth Proportional to 157,037, 216,712.68 and 85,417.88

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Solution

The fourth proportional to 157,037, 216,712.68 and 85,417.88 is: 117,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,037 : 216,712.68 = 85,417.88 : x
  2. Step 2: Convert to fraction form
    157,037/216,712.68 = 85,417.88/x
  3. Step 3: Cross multiply
    157,037x = 216,712.68 × 85,417.88
  4. Step 4: Simplify right side
    157,037x = 18,511,137,694.72
  5. Step 5: Solve for x
    x = 18,511,137,694.72/157,037
  6. Step 6: Final answer
    x = 117,877.56

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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.