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Finding the Fourth Proportional to 254,225.76, 381,360.80 and 83,396.25

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Solution

The fourth proportional to 254,225.76, 381,360.80 and 83,396.25 is: 125,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,225.76 : 381,360.80 = 83,396.25 : x
  2. Step 2: Convert to fraction form
    254,225.76/381,360.80 = 83,396.25/x
  3. Step 3: Cross multiply
    254,225.76x = 381,360.80 × 83,396.25
  4. Step 4: Simplify right side
    254,225.76x = 31,804,060,590.94
  5. Step 5: Solve for x
    x = 31,804,060,590.94/254,225.76
  6. Step 6: Final answer
    x = 125,101.65

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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.