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Finding the Fourth Proportional to 83,071.50, 114,598.74 and 54,378.51

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Solution

The fourth proportional to 83,071.50, 114,598.74 and 54,378.51 is: 75,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071.50 : 114,598.74 = 54,378.51 : x
  2. Step 2: Convert to fraction form
    83,071.50/114,598.74 = 54,378.51/x
  3. Step 3: Cross multiply
    83,071.50x = 114,598.74 × 54,378.51
  4. Step 4: Simplify right side
    83,071.50x = 6,231,708,729.08
  5. Step 5: Solve for x
    x = 6,231,708,729.08/83,071.50
  6. Step 6: Final answer
    x = 75,016.21

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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.