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Finding the Fourth Proportional to 138,903.72, 191,772.54 and 107,011.32

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Solution

The fourth proportional to 138,903.72, 191,772.54 and 107,011.32 is: 147,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,903.72 : 191,772.54 = 107,011.32 : x
  2. Step 2: Convert to fraction form
    138,903.72/191,772.54 = 107,011.32/x
  3. Step 3: Cross multiply
    138,903.72x = 191,772.54 × 107,011.32
  4. Step 4: Simplify right side
    138,903.72x = 20,521,832,645.15
  5. Step 5: Solve for x
    x = 20,521,832,645.15/138,903.72
  6. Step 6: Final answer
    x = 147,741.42

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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.