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Finding the Fourth Proportional to 157,226.86, 216,977.70 and 85,609.90

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Solution

The fourth proportional to 157,226.86, 216,977.70 and 85,609.90 is: 118,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,226.86 : 216,977.70 = 85,609.90 : x
  2. Step 2: Convert to fraction form
    157,226.86/216,977.70 = 85,609.90/x
  3. Step 3: Cross multiply
    157,226.86x = 216,977.70 × 85,609.90
  4. Step 4: Simplify right side
    157,226.86x = 18,575,439,199.23
  5. Step 5: Solve for x
    x = 18,575,439,199.23/157,226.86
  6. Step 6: Final answer
    x = 118,144.18

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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.