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Finding the Fourth Proportional to 151,540.61, 209,111.76 and 87,871.50

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Solution

The fourth proportional to 151,540.61, 209,111.76 and 87,871.50 is: 121,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,540.61 : 209,111.76 = 87,871.50 : x
  2. Step 2: Convert to fraction form
    151,540.61/209,111.76 = 87,871.50/x
  3. Step 3: Cross multiply
    151,540.61x = 209,111.76 × 87,871.50
  4. Step 4: Simplify right side
    151,540.61x = 18,374,964,018.84
  5. Step 5: Solve for x
    x = 18,374,964,018.84/151,540.61
  6. Step 6: Final answer
    x = 121,254.39

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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.