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Finding the Fourth Proportional to 131,047, 180,844.98 and 71,431

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Solution

The fourth proportional to 131,047, 180,844.98 and 71,431 is: 98,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,047 : 180,844.98 = 71,431 : x
  2. Step 2: Convert to fraction form
    131,047/180,844.98 = 71,431/x
  3. Step 3: Cross multiply
    131,047x = 180,844.98 × 71,431
  4. Step 4: Simplify right side
    131,047x = 12,917,937,766.38
  5. Step 5: Solve for x
    x = 12,917,937,766.38/131,047
  6. Step 6: Final answer
    x = 98,574.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.