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Finding the Fourth Proportional to 85,435.94, 127,981.62 and 71,534.80

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Solution

The fourth proportional to 85,435.94, 127,981.62 and 71,534.80 is: 107,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,435.94 : 127,981.62 = 71,534.80 : x
  2. Step 2: Convert to fraction form
    85,435.94/127,981.62 = 71,534.80/x
  3. Step 3: Cross multiply
    85,435.94x = 127,981.62 × 71,534.80
  4. Step 4: Simplify right side
    85,435.94x = 9,155,139,590.38
  5. Step 5: Solve for x
    x = 9,155,139,590.38/85,435.94
  6. Step 6: Final answer
    x = 107,157.94

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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.