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Finding the Fourth Proportional to 105,443.52, 145,470.24 and 75,220.80

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Solution

The fourth proportional to 105,443.52, 145,470.24 and 75,220.80 is: 103,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,443.52 : 145,470.24 = 75,220.80 : x
  2. Step 2: Convert to fraction form
    105,443.52/145,470.24 = 75,220.80/x
  3. Step 3: Cross multiply
    105,443.52x = 145,470.24 × 75,220.80
  4. Step 4: Simplify right side
    105,443.52x = 10,942,387,828.99
  5. Step 5: Solve for x
    x = 10,942,387,828.99/105,443.52
  6. Step 6: Final answer
    x = 103,774.87

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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.