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Finding the Fourth Proportional to 252,071.68, 347,856.70 and 138,893.60

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Solution

The fourth proportional to 252,071.68, 347,856.70 and 138,893.60 is: 191,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,071.68 : 347,856.70 = 138,893.60 : x
  2. Step 2: Convert to fraction form
    252,071.68/347,856.70 = 138,893.60/x
  3. Step 3: Cross multiply
    252,071.68x = 347,856.70 × 138,893.60
  4. Step 4: Simplify right side
    252,071.68x = 48,315,069,347.12
  5. Step 5: Solve for x
    x = 48,315,069,347.12/252,071.68
  6. Step 6: Final answer
    x = 191,671.95

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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.