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Finding the Fourth Proportional to 254,230.65, 381,368.12 and 83,401.13

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Solution

The fourth proportional to 254,230.65, 381,368.12 and 83,401.13 is: 125,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,230.65 : 381,368.12 = 83,401.13 : x
  2. Step 2: Convert to fraction form
    254,230.65/381,368.12 = 83,401.13/x
  3. Step 3: Cross multiply
    254,230.65x = 381,368.12 × 83,401.13
  4. Step 4: Simplify right side
    254,230.65x = 31,806,529,830.13
  5. Step 5: Solve for x
    x = 31,806,529,830.13/254,230.65
  6. Step 6: Final answer
    x = 125,108.95

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1.5x scale

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.