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Finding the Fourth Proportional to 83,878.48, 115,751.34 and 45,639.16

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Solution

The fourth proportional to 83,878.48, 115,751.34 and 45,639.16 is: 62,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.48 : 115,751.34 = 45,639.16 : x
  2. Step 2: Convert to fraction form
    83,878.48/115,751.34 = 45,639.16/x
  3. Step 3: Cross multiply
    83,878.48x = 115,751.34 × 45,639.16
  4. Step 4: Simplify right side
    83,878.48x = 5,282,793,926.47
  5. Step 5: Solve for x
    x = 5,282,793,926.47/83,878.48
  6. Step 6: Final answer
    x = 62,981.52

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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.