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Finding the Fourth Proportional to 86,465.64, 129,585.40 and 44,310

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Solution

The fourth proportional to 86,465.64, 129,585.40 and 44,310 is: 66,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,465.64 : 129,585.40 = 44,310 : x
  2. Step 2: Convert to fraction form
    86,465.64/129,585.40 = 44,310/x
  3. Step 3: Cross multiply
    86,465.64x = 129,585.40 × 44,310
  4. Step 4: Simplify right side
    86,465.64x = 5,741,929,074
  5. Step 5: Solve for x
    x = 5,741,929,074/86,465.64
  6. Step 6: Final answer
    x = 66,407.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.