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Finding the Fourth Proportional to 138,375, 190,946.16 and 77,926.32

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Solution

The fourth proportional to 138,375, 190,946.16 and 77,926.32 is: 107,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,375 : 190,946.16 = 77,926.32 : x
  2. Step 2: Convert to fraction form
    138,375/190,946.16 = 77,926.32/x
  3. Step 3: Cross multiply
    138,375x = 190,946.16 × 77,926.32
  4. Step 4: Simplify right side
    138,375x = 14,879,731,566.93
  5. Step 5: Solve for x
    x = 14,879,731,566.93/138,375
  6. Step 6: Final answer
    x = 107,531.94

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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.