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Finding the Fourth Proportional to 82,920.90, 114,340.50 and 56,016.72

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Solution

The fourth proportional to 82,920.90, 114,340.50 and 56,016.72 is: 77,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.90 : 114,340.50 = 56,016.72 : x
  2. Step 2: Convert to fraction form
    82,920.90/114,340.50 = 56,016.72/x
  3. Step 3: Cross multiply
    82,920.90x = 114,340.50 × 56,016.72
  4. Step 4: Simplify right side
    82,920.90x = 6,404,979,773.16
  5. Step 5: Solve for x
    x = 6,404,979,773.16/82,920.90
  6. Step 6: Final answer
    x = 77,242.04

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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.