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Finding the Fourth Proportional to 83,646.77, 115,424.87 and 49,649.45

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Solution

The fourth proportional to 83,646.77, 115,424.87 and 49,649.45 is: 68,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.77 : 115,424.87 = 49,649.45 : x
  2. Step 2: Convert to fraction form
    83,646.77/115,424.87 = 49,649.45/x
  3. Step 3: Cross multiply
    83,646.77x = 115,424.87 × 49,649.45
  4. Step 4: Simplify right side
    83,646.77x = 5,730,780,486.45
  5. Step 5: Solve for x
    x = 5,730,780,486.45/83,646.77
  6. Step 6: Final answer
    x = 68,511.68

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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.