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Finding the Fourth Proportional to 55,972.32, 77,242.32 and 30,822

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Solution

The fourth proportional to 55,972.32, 77,242.32 and 30,822 is: 42,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972.32 : 77,242.32 = 30,822 : x
  2. Step 2: Convert to fraction form
    55,972.32/77,242.32 = 30,822/x
  3. Step 3: Cross multiply
    55,972.32x = 77,242.32 × 30,822
  4. Step 4: Simplify right side
    55,972.32x = 2,380,762,787.04
  5. Step 5: Solve for x
    x = 2,380,762,787.04/55,972.32
  6. Step 6: Final answer
    x = 42,534.65

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1.5x scale

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.