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Finding the Fourth Proportional to 83,716.53, 115,530.74 and 45,477.60

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Solution

The fourth proportional to 83,716.53, 115,530.74 and 45,477.60 is: 62,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716.53 : 115,530.74 = 45,477.60 : x
  2. Step 2: Convert to fraction form
    83,716.53/115,530.74 = 45,477.60/x
  3. Step 3: Cross multiply
    83,716.53x = 115,530.74 × 45,477.60
  4. Step 4: Simplify right side
    83,716.53x = 5,254,060,554.04
  5. Step 5: Solve for x
    x = 5,254,060,554.04/83,716.53
  6. Step 6: Final answer
    x = 62,760.13

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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.