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Finding the Fourth Proportional to 235,966.64, 354,002.64 and 86,206.88

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Solution

The fourth proportional to 235,966.64, 354,002.64 and 86,206.88 is: 129,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,966.64 : 354,002.64 = 86,206.88 : x
  2. Step 2: Convert to fraction form
    235,966.64/354,002.64 = 86,206.88/x
  3. Step 3: Cross multiply
    235,966.64x = 354,002.64 × 86,206.88
  4. Step 4: Simplify right side
    235,966.64x = 30,517,463,106.16
  5. Step 5: Solve for x
    x = 30,517,463,106.16/235,966.64
  6. Step 6: Final answer
    x = 129,329.57

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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.