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Finding the Fourth Proportional to 285,894.55, 428,703.18 and 86,177.71

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Solution

The fourth proportional to 285,894.55, 428,703.18 and 86,177.71 is: 129,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,894.55 : 428,703.18 = 86,177.71 : x
  2. Step 2: Convert to fraction form
    285,894.55/428,703.18 = 86,177.71/x
  3. Step 3: Cross multiply
    285,894.55x = 428,703.18 × 86,177.71
  4. Step 4: Simplify right side
    285,894.55x = 36,944,658,322.12
  5. Step 5: Solve for x
    x = 36,944,658,322.12/285,894.55
  6. Step 6: Final answer
    x = 129,224.77

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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.