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Finding the Fourth Proportional to 83,737.83, 115,551.49 and 47,919.63

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Solution

The fourth proportional to 83,737.83, 115,551.49 and 47,919.63 is: 66,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,737.83 : 115,551.49 = 47,919.63 : x
  2. Step 2: Convert to fraction form
    83,737.83/115,551.49 = 47,919.63/x
  3. Step 3: Cross multiply
    83,737.83x = 115,551.49 × 47,919.63
  4. Step 4: Simplify right side
    83,737.83x = 5,537,184,407.15
  5. Step 5: Solve for x
    x = 5,537,184,407.15/83,737.83
  6. Step 6: Final answer
    x = 66,125.24

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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.