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Finding the Fourth Proportional to 138,411.69, 191,008.12 and 74,749.48

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Solution

The fourth proportional to 138,411.69, 191,008.12 and 74,749.48 is: 103,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.69 : 191,008.12 = 74,749.48 : x
  2. Step 2: Convert to fraction form
    138,411.69/191,008.12 = 74,749.48/x
  3. Step 3: Cross multiply
    138,411.69x = 191,008.12 × 74,749.48
  4. Step 4: Simplify right side
    138,411.69x = 14,277,756,316.99
  5. Step 5: Solve for x
    x = 14,277,756,316.99/138,411.69
  6. Step 6: Final answer
    x = 103,154.27

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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.