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Finding the Fourth Proportional to 82,398.80, 123,569.40 and 42,942.80

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Solution

The fourth proportional to 82,398.80, 123,569.40 and 42,942.80 is: 64,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,398.80 : 123,569.40 = 42,942.80 : x
  2. Step 2: Convert to fraction form
    82,398.80/123,569.40 = 42,942.80/x
  3. Step 3: Cross multiply
    82,398.80x = 123,569.40 × 42,942.80
  4. Step 4: Simplify right side
    82,398.80x = 5,306,416,030.32
  5. Step 5: Solve for x
    x = 5,306,416,030.32/82,398.80
  6. Step 6: Final answer
    x = 64,399.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.