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Finding the Fourth Proportional to 55,976, 77,246.88 and 30,827.12

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Solution

The fourth proportional to 55,976, 77,246.88 and 30,827.12 is: 42,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,976 : 77,246.88 = 30,827.12 : x
  2. Step 2: Convert to fraction form
    55,976/77,246.88 = 30,827.12/x
  3. Step 3: Cross multiply
    55,976x = 77,246.88 × 30,827.12
  4. Step 4: Simplify right side
    55,976x = 2,381,298,839.39
  5. Step 5: Solve for x
    x = 2,381,298,839.39/55,976
  6. Step 6: Final answer
    x = 42,541.43

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Double scale
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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.