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Finding the Fourth Proportional to 138,389.92, 190,978.08 and 77,960.80

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Solution

The fourth proportional to 138,389.92, 190,978.08 and 77,960.80 is: 107,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,389.92 : 190,978.08 = 77,960.80 : x
  2. Step 2: Convert to fraction form
    138,389.92/190,978.08 = 77,960.80/x
  3. Step 3: Cross multiply
    138,389.92x = 190,978.08 × 77,960.80
  4. Step 4: Simplify right side
    138,389.92x = 14,888,803,899.26
  5. Step 5: Solve for x
    x = 14,888,803,899.26/138,389.92
  6. Step 6: Final answer
    x = 107,585.90

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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.