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Finding the Fourth Proportional to 70,196.60, 96,871.32 and 39,984.74

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Solution

The fourth proportional to 70,196.60, 96,871.32 and 39,984.74 is: 55,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,196.60 : 96,871.32 = 39,984.74 : x
  2. Step 2: Convert to fraction form
    70,196.60/96,871.32 = 39,984.74/x
  3. Step 3: Cross multiply
    70,196.60x = 96,871.32 × 39,984.74
  4. Step 4: Simplify right side
    70,196.60x = 3,873,374,543.66
  5. Step 5: Solve for x
    x = 3,873,374,543.66/70,196.60
  6. Step 6: Final answer
    x = 55,178.95

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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.