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Finding the Fourth Proportional to 100,698.34, 138,960.76 and 55,376.27

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Solution

The fourth proportional to 100,698.34, 138,960.76 and 55,376.27 is: 76,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.34 : 138,960.76 = 55,376.27 : x
  2. Step 2: Convert to fraction form
    100,698.34/138,960.76 = 55,376.27/x
  3. Step 3: Cross multiply
    100,698.34x = 138,960.76 × 55,376.27
  4. Step 4: Simplify right side
    100,698.34x = 7,695,128,565.17
  5. Step 5: Solve for x
    x = 7,695,128,565.17/100,698.34
  6. Step 6: Final answer
    x = 76,417.63

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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.