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Finding the Fourth Proportional to 148,987.85, 205,602.53 and 87,769.58

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Solution

The fourth proportional to 148,987.85, 205,602.53 and 87,769.58 is: 121,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,987.85 : 205,602.53 = 87,769.58 : x
  2. Step 2: Convert to fraction form
    148,987.85/205,602.53 = 87,769.58/x
  3. Step 3: Cross multiply
    148,987.85x = 205,602.53 × 87,769.58
  4. Step 4: Simplify right side
    148,987.85x = 18,045,646,238.18
  5. Step 5: Solve for x
    x = 18,045,646,238.18/148,987.85
  6. Step 6: Final answer
    x = 121,121.60

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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.