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Finding the Fourth Proportional to 83,290.32, 114,927.24 and 47,480.40

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Solution

The fourth proportional to 83,290.32, 114,927.24 and 47,480.40 is: 65,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.32 : 114,927.24 = 47,480.40 : x
  2. Step 2: Convert to fraction form
    83,290.32/114,927.24 = 47,480.40/x
  3. Step 3: Cross multiply
    83,290.32x = 114,927.24 × 47,480.40
  4. Step 4: Simplify right side
    83,290.32x = 5,456,791,326.10
  5. Step 5: Solve for x
    x = 5,456,791,326.10/83,290.32
  6. Step 6: Final answer
    x = 65,515.31

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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.