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Finding the Fourth Proportional to 157,113.74, 216,813.42 and 85,493.94

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Solution

The fourth proportional to 157,113.74, 216,813.42 and 85,493.94 is: 117,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.74 : 216,813.42 = 85,493.94 : x
  2. Step 2: Convert to fraction form
    157,113.74/216,813.42 = 85,493.94/x
  3. Step 3: Cross multiply
    157,113.74x = 216,813.42 × 85,493.94
  4. Step 4: Simplify right side
    157,113.74x = 18,536,233,520.67
  5. Step 5: Solve for x
    x = 18,536,233,520.67/157,113.74
  6. Step 6: Final answer
    x = 117,979.71

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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.