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Finding the Fourth Proportional to 230,043.98, 317,433.12 and 128,045

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Solution

The fourth proportional to 230,043.98, 317,433.12 and 128,045 is: 176,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,043.98 : 317,433.12 = 128,045 : x
  2. Step 2: Convert to fraction form
    230,043.98/317,433.12 = 128,045/x
  3. Step 3: Cross multiply
    230,043.98x = 317,433.12 × 128,045
  4. Step 4: Simplify right side
    230,043.98x = 40,645,723,850.40
  5. Step 5: Solve for x
    x = 40,645,723,850.40/230,043.98
  6. Step 6: Final answer
    x = 176,686.75

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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.