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Finding the Fourth Proportional to 83,683.53, 115,482.88 and 45,442.77

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Solution

The fourth proportional to 83,683.53, 115,482.88 and 45,442.77 is: 62,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.53 : 115,482.88 = 45,442.77 : x
  2. Step 2: Convert to fraction form
    83,683.53/115,482.88 = 45,442.77/x
  3. Step 3: Cross multiply
    83,683.53x = 115,482.88 × 45,442.77
  4. Step 4: Simplify right side
    83,683.53x = 5,247,861,954.78
  5. Step 5: Solve for x
    x = 5,247,861,954.78/83,683.53
  6. Step 6: Final answer
    x = 62,710.81

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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.