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Finding the Fourth Proportional to 243,046.13, 364,569.21 and 76,834.13

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Solution

The fourth proportional to 243,046.13, 364,569.21 and 76,834.13 is: 115,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,046.13 : 364,569.21 = 76,834.13 : x
  2. Step 2: Convert to fraction form
    243,046.13/364,569.21 = 76,834.13/x
  3. Step 3: Cross multiply
    243,046.13x = 364,569.21 × 76,834.13
  4. Step 4: Simplify right side
    243,046.13x = 28,011,356,252.29
  5. Step 5: Solve for x
    x = 28,011,356,252.29/243,046.13
  6. Step 6: Final answer
    x = 115,251.19

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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.