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Finding the Fourth Proportional to 83,642.08, 115,429.04 and 45,919.20

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Solution

The fourth proportional to 83,642.08, 115,429.04 and 45,919.20 is: 63,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.08 : 115,429.04 = 45,919.20 : x
  2. Step 2: Convert to fraction form
    83,642.08/115,429.04 = 45,919.20/x
  3. Step 3: Cross multiply
    83,642.08x = 115,429.04 × 45,919.20
  4. Step 4: Simplify right side
    83,642.08x = 5,300,409,173.57
  5. Step 5: Solve for x
    x = 5,300,409,173.57/83,642.08
  6. Step 6: Final answer
    x = 63,370.13

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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.