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Finding the Fourth Proportional to 82,384.40, 123,569.40 and 26,980.40

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Solution

The fourth proportional to 82,384.40, 123,569.40 and 26,980.40 is: 40,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384.40 : 123,569.40 = 26,980.40 : x
  2. Step 2: Convert to fraction form
    82,384.40/123,569.40 = 26,980.40/x
  3. Step 3: Cross multiply
    82,384.40x = 123,569.40 × 26,980.40
  4. Step 4: Simplify right side
    82,384.40x = 3,333,951,839.76
  5. Step 5: Solve for x
    x = 3,333,951,839.76/82,384.40
  6. Step 6: Final answer
    x = 40,468.24

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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.