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Finding the Fourth Proportional to 285,055.95, 427,515.88 and 85,322.71

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Solution

The fourth proportional to 285,055.95, 427,515.88 and 85,322.71 is: 127,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.95 : 427,515.88 = 85,322.71 : x
  2. Step 2: Convert to fraction form
    285,055.95/427,515.88 = 85,322.71/x
  3. Step 3: Cross multiply
    285,055.95x = 427,515.88 × 85,322.71
  4. Step 4: Simplify right side
    285,055.95x = 36,476,813,449.63
  5. Step 5: Solve for x
    x = 36,476,813,449.63/285,055.95
  6. Step 6: Final answer
    x = 127,963.70

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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.