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Finding the Fourth Proportional to 149,005.98, 205,615.80 and 87,742.44

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Solution

The fourth proportional to 149,005.98, 205,615.80 and 87,742.44 is: 121,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,005.98 : 205,615.80 = 87,742.44 : x
  2. Step 2: Convert to fraction form
    149,005.98/205,615.80 = 87,742.44/x
  3. Step 3: Cross multiply
    149,005.98x = 205,615.80 × 87,742.44
  4. Step 4: Simplify right side
    149,005.98x = 18,041,231,994.55
  5. Step 5: Solve for x
    x = 18,041,231,994.55/149,005.98
  6. Step 6: Final answer
    x = 121,077.23

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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.