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Finding the Fourth Proportional to 131,101.95, 180,874.04 and 77,360.07

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Solution

The fourth proportional to 131,101.95, 180,874.04 and 77,360.07 is: 106,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,101.95 : 180,874.04 = 77,360.07 : x
  2. Step 2: Convert to fraction form
    131,101.95/180,874.04 = 77,360.07/x
  3. Step 3: Cross multiply
    131,101.95x = 180,874.04 × 77,360.07
  4. Step 4: Simplify right side
    131,101.95x = 13,992,428,008.78
  5. Step 5: Solve for x
    x = 13,992,428,008.78/131,101.95
  6. Step 6: Final answer
    x = 106,729.37

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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.