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Finding the Fourth Proportional to 135,740.94, 187,432.56 and 84,813

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Solution

The fourth proportional to 135,740.94, 187,432.56 and 84,813 is: 117,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,740.94 : 187,432.56 = 84,813 : x
  2. Step 2: Convert to fraction form
    135,740.94/187,432.56 = 84,813/x
  3. Step 3: Cross multiply
    135,740.94x = 187,432.56 × 84,813
  4. Step 4: Simplify right side
    135,740.94x = 15,896,717,711.28
  5. Step 5: Solve for x
    x = 15,896,717,711.28/135,740.94
  6. Step 6: Final answer
    x = 117,110.71

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1.5x scale

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.