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Finding the Fourth Proportional to 138,881.44, 191,657.28 and 75,220

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Solution

The fourth proportional to 138,881.44, 191,657.28 and 75,220 is: 103,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,881.44 : 191,657.28 = 75,220 : x
  2. Step 2: Convert to fraction form
    138,881.44/191,657.28 = 75,220/x
  3. Step 3: Cross multiply
    138,881.44x = 191,657.28 × 75,220
  4. Step 4: Simplify right side
    138,881.44x = 14,416,460,601.60
  5. Step 5: Solve for x
    x = 14,416,460,601.60/138,881.44
  6. Step 6: Final answer
    x = 103,804.08

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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.