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Finding the Fourth Proportional to 82,920.80, 114,430.40 and 45,194.96

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Solution

The fourth proportional to 82,920.80, 114,430.40 and 45,194.96 is: 62,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.80 : 114,430.40 = 45,194.96 : x
  2. Step 2: Convert to fraction form
    82,920.80/114,430.40 = 45,194.96/x
  3. Step 3: Cross multiply
    82,920.80x = 114,430.40 × 45,194.96
  4. Step 4: Simplify right side
    82,920.80x = 5,171,677,350.78
  5. Step 5: Solve for x
    x = 5,171,677,350.78/82,920.80
  6. Step 6: Final answer
    x = 62,368.88

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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.