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Finding the Fourth Proportional to 138,989.09, 191,803.55 and 77,734.64

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Solution

The fourth proportional to 138,989.09, 191,803.55 and 77,734.64 is: 107,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,989.09 : 191,803.55 = 77,734.64 : x
  2. Step 2: Convert to fraction form
    138,989.09/191,803.55 = 77,734.64/x
  3. Step 3: Cross multiply
    138,989.09x = 191,803.55 × 77,734.64
  4. Step 4: Simplify right side
    138,989.09x = 14,909,778,921.91
  5. Step 5: Solve for x
    x = 14,909,778,921.91/138,989.09
  6. Step 6: Final answer
    x = 107,273.02

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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.