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Finding the Fourth Proportional to 285,393.96, 428,053.95 and 107,877.87

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Solution

The fourth proportional to 285,393.96, 428,053.95 and 107,877.87 is: 161,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,393.96 : 428,053.95 = 107,877.87 : x
  2. Step 2: Convert to fraction form
    285,393.96/428,053.95 = 107,877.87/x
  3. Step 3: Cross multiply
    285,393.96x = 428,053.95 × 107,877.87
  4. Step 4: Simplify right side
    285,393.96x = 46,177,548,371.09
  5. Step 5: Solve for x
    x = 46,177,548,371.09/285,393.96
  6. Step 6: Final answer
    x = 161,802.82

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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.