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Finding the Fourth Proportional to 137,503.60, 205,846.98 and 74,984.56

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Solution

The fourth proportional to 137,503.60, 205,846.98 and 74,984.56 is: 112,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,503.60 : 205,846.98 = 74,984.56 : x
  2. Step 2: Convert to fraction form
    137,503.60/205,846.98 = 74,984.56/x
  3. Step 3: Cross multiply
    137,503.60x = 205,846.98 × 74,984.56
  4. Step 4: Simplify right side
    137,503.60x = 15,435,345,222.63
  5. Step 5: Solve for x
    x = 15,435,345,222.63/137,503.60
  6. Step 6: Final answer
    x = 112,254.12

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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.