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Finding the Fourth Proportional to 156,967.65, 216,609.43 and 85,345.20

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Solution

The fourth proportional to 156,967.65, 216,609.43 and 85,345.20 is: 117,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967.65 : 216,609.43 = 85,345.20 : x
  2. Step 2: Convert to fraction form
    156,967.65/216,609.43 = 85,345.20/x
  3. Step 3: Cross multiply
    156,967.65x = 216,609.43 × 85,345.20
  4. Step 4: Simplify right side
    156,967.65x = 18,486,575,125.24
  5. Step 5: Solve for x
    x = 18,486,575,125.24/156,967.65
  6. Step 6: Final answer
    x = 117,773.15

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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.