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Finding the Fourth Proportional to 83,684.53, 115,484.26 and 45,443.77

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Solution

The fourth proportional to 83,684.53, 115,484.26 and 45,443.77 is: 62,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,684.53 : 115,484.26 = 45,443.77 : x
  2. Step 2: Convert to fraction form
    83,684.53/115,484.26 = 45,443.77/x
  3. Step 3: Cross multiply
    83,684.53x = 115,484.26 × 45,443.77
  4. Step 4: Simplify right side
    83,684.53x = 5,248,040,150.06
  5. Step 5: Solve for x
    x = 5,248,040,150.06/83,684.53
  6. Step 6: Final answer
    x = 62,712.19

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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.