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Finding the Fourth Proportional to 138,396.86, 190,988.25 and 77,968.23

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Solution

The fourth proportional to 138,396.86, 190,988.25 and 77,968.23 is: 107,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,396.86 : 190,988.25 = 77,968.23 : x
  2. Step 2: Convert to fraction form
    138,396.86/190,988.25 = 77,968.23/x
  3. Step 3: Cross multiply
    138,396.86x = 190,988.25 × 77,968.23
  4. Step 4: Simplify right side
    138,396.86x = 14,891,015,803.30
  5. Step 5: Solve for x
    x = 14,891,015,803.30/138,396.86
  6. Step 6: Final answer
    x = 107,596.49

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1.5x scale

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.