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Finding the Fourth Proportional to 257,008.95, 385,278.32 and 99,118.49

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Solution

The fourth proportional to 257,008.95, 385,278.32 and 99,118.49 is: 148,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,008.95 : 385,278.32 = 99,118.49 : x
  2. Step 2: Convert to fraction form
    257,008.95/385,278.32 = 99,118.49/x
  3. Step 3: Cross multiply
    257,008.95x = 385,278.32 × 99,118.49
  4. Step 4: Simplify right side
    257,008.95x = 38,188,203,629.54
  5. Step 5: Solve for x
    x = 38,188,203,629.54/257,008.95
  6. Step 6: Final answer
    x = 148,587.06

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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.