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Finding the Fourth Proportional to 138,886.19, 191,663.25 and 75,224

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Solution

The fourth proportional to 138,886.19, 191,663.25 and 75,224 is: 103,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.19 : 191,663.25 = 75,224 : x
  2. Step 2: Convert to fraction form
    138,886.19/191,663.25 = 75,224/x
  3. Step 3: Cross multiply
    138,886.19x = 191,663.25 × 75,224
  4. Step 4: Simplify right side
    138,886.19x = 14,417,676,318
  5. Step 5: Solve for x
    x = 14,417,676,318/138,886.19
  6. Step 6: Final answer
    x = 103,809.29

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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.