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Finding the Fourth Proportional to 83,782.60, 115,620.71 and 45,542.22

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Solution

The fourth proportional to 83,782.60, 115,620.71 and 45,542.22 is: 62,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.60 : 115,620.71 = 45,542.22 : x
  2. Step 2: Convert to fraction form
    83,782.60/115,620.71 = 45,542.22/x
  3. Step 3: Cross multiply
    83,782.60x = 115,620.71 × 45,542.22
  4. Step 4: Simplify right side
    83,782.60x = 5,265,624,349.79
  5. Step 5: Solve for x
    x = 5,265,624,349.79/83,782.60
  6. Step 6: Final answer
    x = 62,848.66

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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.