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Finding the Fourth Proportional to 43,187, 64,780.50 and 12,023.06

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Solution

The fourth proportional to 43,187, 64,780.50 and 12,023.06 is: 18,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,187 : 64,780.50 = 12,023.06 : x
  2. Step 2: Convert to fraction form
    43,187/64,780.50 = 12,023.06/x
  3. Step 3: Cross multiply
    43,187x = 64,780.50 × 12,023.06
  4. Step 4: Simplify right side
    43,187x = 778,859,838.33
  5. Step 5: Solve for x
    x = 778,859,838.33/43,187
  6. Step 6: Final answer
    x = 18,034.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.