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Finding the Fourth Proportional to 54,351, 75,033.54 and 42,385.68

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Solution

The fourth proportional to 54,351, 75,033.54 and 42,385.68 is: 58,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351 : 75,033.54 = 42,385.68 : x
  2. Step 2: Convert to fraction form
    54,351/75,033.54 = 42,385.68/x
  3. Step 3: Cross multiply
    54,351x = 75,033.54 × 42,385.68
  4. Step 4: Simplify right side
    54,351x = 3,180,347,615.71
  5. Step 5: Solve for x
    x = 3,180,347,615.71/54,351
  6. Step 6: Final answer
    x = 58,514.98

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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.