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Finding the Fourth Proportional to 138,398.61, 190,990.67 and 77,969.98

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Solution

The fourth proportional to 138,398.61, 190,990.67 and 77,969.98 is: 107,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,398.61 : 190,990.67 = 77,969.98 : x
  2. Step 2: Convert to fraction form
    138,398.61/190,990.67 = 77,969.98/x
  3. Step 3: Cross multiply
    138,398.61x = 190,990.67 × 77,969.98
  4. Step 4: Simplify right side
    138,398.61x = 14,891,538,720.09
  5. Step 5: Solve for x
    x = 14,891,538,720.09/138,398.61
  6. Step 6: Final answer
    x = 107,598.90

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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.