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Finding the Fourth Proportional to 37,090, 55,643.75 and 12,129.95

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Solution

The fourth proportional to 37,090, 55,643.75 and 12,129.95 is: 18,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 55,643.75 = 12,129.95 : x
  2. Step 2: Convert to fraction form
    37,090/55,643.75 = 12,129.95/x
  3. Step 3: Cross multiply
    37,090x = 55,643.75 × 12,129.95
  4. Step 4: Simplify right side
    37,090x = 674,955,905.31
  5. Step 5: Solve for x
    x = 674,955,905.31/37,090
  6. Step 6: Final answer
    x = 18,197.79

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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.