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Finding the Fourth Proportional to 138,203.94, 190,731.12 and 77,780.40

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Solution

The fourth proportional to 138,203.94, 190,731.12 and 77,780.40 is: 107,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,203.94 : 190,731.12 = 77,780.40 : x
  2. Step 2: Convert to fraction form
    138,203.94/190,731.12 = 77,780.40/x
  3. Step 3: Cross multiply
    138,203.94x = 190,731.12 × 77,780.40
  4. Step 4: Simplify right side
    138,203.94x = 14,835,142,806.05
  5. Step 5: Solve for x
    x = 14,835,142,806.05/138,203.94
  6. Step 6: Final answer
    x = 107,342.40

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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.