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Finding the Fourth Proportional to 78,085.52, 107,758 and 42,275.52

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Solution

The fourth proportional to 78,085.52, 107,758 and 42,275.52 is: 58,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.52 : 107,758 = 42,275.52 : x
  2. Step 2: Convert to fraction form
    78,085.52/107,758 = 42,275.52/x
  3. Step 3: Cross multiply
    78,085.52x = 107,758 × 42,275.52
  4. Step 4: Simplify right side
    78,085.52x = 4,555,525,484.16
  5. Step 5: Solve for x
    x = 4,555,525,484.16/78,085.52
  6. Step 6: Final answer
    x = 58,340.21

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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.