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Finding the Fourth Proportional to 54,352, 75,034.92 and 42,386.68

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Solution

The fourth proportional to 54,352, 75,034.92 and 42,386.68 is: 58,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,352 : 75,034.92 = 42,386.68 : x
  2. Step 2: Convert to fraction form
    54,352/75,034.92 = 42,386.68/x
  3. Step 3: Cross multiply
    54,352x = 75,034.92 × 42,386.68
  4. Step 4: Simplify right side
    54,352x = 3,180,481,142.87
  5. Step 5: Solve for x
    x = 3,180,481,142.87/54,352
  6. Step 6: Final answer
    x = 58,516.36

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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.