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Finding the Fourth Proportional to 138,410.67, 191,006.73 and 74,748.47

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Solution

The fourth proportional to 138,410.67, 191,006.73 and 74,748.47 is: 103,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.67 : 191,006.73 = 74,748.47 : x
  2. Step 2: Convert to fraction form
    138,410.67/191,006.73 = 74,748.47/x
  3. Step 3: Cross multiply
    138,410.67x = 191,006.73 × 74,748.47
  4. Step 4: Simplify right side
    138,410.67x = 14,277,460,827.20
  5. Step 5: Solve for x
    x = 14,277,460,827.20/138,410.67
  6. Step 6: Final answer
    x = 103,152.89

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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.