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Finding the Fourth Proportional to 100,645.61, 138,894.08 and 55,327.07

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Solution

The fourth proportional to 100,645.61, 138,894.08 and 55,327.07 is: 76,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,645.61 : 138,894.08 = 55,327.07 : x
  2. Step 2: Convert to fraction form
    100,645.61/138,894.08 = 55,327.07/x
  3. Step 3: Cross multiply
    100,645.61x = 138,894.08 × 55,327.07
  4. Step 4: Simplify right side
    100,645.61x = 7,684,602,557.35
  5. Step 5: Solve for x
    x = 7,684,602,557.35/100,645.61
  6. Step 6: Final answer
    x = 76,353.09

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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.