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Finding the Fourth Proportional to 138,397.61, 190,989.29 and 77,968.98

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Solution

The fourth proportional to 138,397.61, 190,989.29 and 77,968.98 is: 107,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,397.61 : 190,989.29 = 77,968.98 : x
  2. Step 2: Convert to fraction form
    138,397.61/190,989.29 = 77,968.98/x
  3. Step 3: Cross multiply
    138,397.61x = 190,989.29 × 77,968.98
  4. Step 4: Simplify right side
    138,397.61x = 14,891,239,742.38
  5. Step 5: Solve for x
    x = 14,891,239,742.38/138,397.61
  6. Step 6: Final answer
    x = 107,597.52

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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.