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Finding the Fourth Proportional to 157,123.89, 216,824.51 and 85,504.20

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Solution

The fourth proportional to 157,123.89, 216,824.51 and 85,504.20 is: 117,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123.89 : 216,824.51 = 85,504.20 : x
  2. Step 2: Convert to fraction form
    157,123.89/216,824.51 = 85,504.20/x
  3. Step 3: Cross multiply
    157,123.89x = 216,824.51 × 85,504.20
  4. Step 4: Simplify right side
    157,123.89x = 18,539,406,267.94
  5. Step 5: Solve for x
    x = 18,539,406,267.94/157,123.89
  6. Step 6: Final answer
    x = 117,992.28

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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.