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Finding the Fourth Proportional to 83,219.60, 114,834.81 and 47,407.48

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Solution

The fourth proportional to 83,219.60, 114,834.81 and 47,407.48 is: 65,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.60 : 114,834.81 = 47,407.48 : x
  2. Step 2: Convert to fraction form
    83,219.60/114,834.81 = 47,407.48/x
  3. Step 3: Cross multiply
    83,219.60x = 114,834.81 × 47,407.48
  4. Step 4: Simplify right side
    83,219.60x = 5,444,028,849.07
  5. Step 5: Solve for x
    x = 5,444,028,849.07/83,219.60
  6. Step 6: Final answer
    x = 65,417.63

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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.