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Finding the Fourth Proportional to 135,690.46, 187,225.83 and 81,978.45

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Solution

The fourth proportional to 135,690.46, 187,225.83 and 81,978.45 is: 113,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,690.46 : 187,225.83 = 81,978.45 : x
  2. Step 2: Convert to fraction form
    135,690.46/187,225.83 = 81,978.45/x
  3. Step 3: Cross multiply
    135,690.46x = 187,225.83 × 81,978.45
  4. Step 4: Simplify right side
    135,690.46x = 15,348,482,641.27
  5. Step 5: Solve for x
    x = 15,348,482,641.27/135,690.46
  6. Step 6: Final answer
    x = 113,113.94

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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.