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Finding the Fourth Proportional to 138,322.40, 190,882.40 and 77,892.80

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Solution

The fourth proportional to 138,322.40, 190,882.40 and 77,892.80 is: 107,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322.40 : 190,882.40 = 77,892.80 : x
  2. Step 2: Convert to fraction form
    138,322.40/190,882.40 = 77,892.80/x
  3. Step 3: Cross multiply
    138,322.40x = 190,882.40 × 77,892.80
  4. Step 4: Simplify right side
    138,322.40x = 14,868,364,606.72
  5. Step 5: Solve for x
    x = 14,868,364,606.72/138,322.40
  6. Step 6: Final answer
    x = 107,490.65

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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.