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Finding the Fourth Proportional to 83,568.51, 115,316.46 and 47,751.12

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Solution

The fourth proportional to 83,568.51, 115,316.46 and 47,751.12 is: 65,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.51 : 115,316.46 = 47,751.12 : x
  2. Step 2: Convert to fraction form
    83,568.51/115,316.46 = 47,751.12/x
  3. Step 3: Cross multiply
    83,568.51x = 115,316.46 × 47,751.12
  4. Step 4: Simplify right side
    83,568.51x = 5,506,490,119.44
  5. Step 5: Solve for x
    x = 5,506,490,119.44/83,568.51
  6. Step 6: Final answer
    x = 65,891.93

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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.