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Finding the Fourth Proportional to 256,741.74, 385,030.65 and 88,221.42

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Solution

The fourth proportional to 256,741.74, 385,030.65 and 88,221.42 is: 132,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,741.74 : 385,030.65 = 88,221.42 : x
  2. Step 2: Convert to fraction form
    256,741.74/385,030.65 = 88,221.42/x
  3. Step 3: Cross multiply
    256,741.74x = 385,030.65 × 88,221.42
  4. Step 4: Simplify right side
    256,741.74x = 33,967,950,686.52
  5. Step 5: Solve for x
    x = 33,967,950,686.52/256,741.74
  6. Step 6: Final answer
    x = 132,303.97

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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.