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Finding the Fourth Proportional to 54,353.52, 74,976 and 34,178.40

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Solution

The fourth proportional to 54,353.52, 74,976 and 34,178.40 is: 47,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,353.52 : 74,976 = 34,178.40 : x
  2. Step 2: Convert to fraction form
    54,353.52/74,976 = 34,178.40/x
  3. Step 3: Cross multiply
    54,353.52x = 74,976 × 34,178.40
  4. Step 4: Simplify right side
    54,353.52x = 2,562,559,718.40
  5. Step 5: Solve for x
    x = 2,562,559,718.40/54,353.52
  6. Step 6: Final answer
    x = 47,146.16

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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.