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Finding the Fourth Proportional to 138,410.19, 191,006.05 and 74,747.98

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Solution

The fourth proportional to 138,410.19, 191,006.05 and 74,747.98 is: 103,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.19 : 191,006.05 = 74,747.98 : x
  2. Step 2: Convert to fraction form
    138,410.19/191,006.05 = 74,747.98/x
  3. Step 3: Cross multiply
    138,410.19x = 191,006.05 × 74,747.98
  4. Step 4: Simplify right side
    138,410.19x = 14,277,315,076.51
  5. Step 5: Solve for x
    x = 14,277,315,076.51/138,410.19
  6. Step 6: Final answer
    x = 103,152.20

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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.