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Finding the Fourth Proportional to 78,052.42, 107,687.19 and 47,806.21

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Solution

The fourth proportional to 78,052.42, 107,687.19 and 47,806.21 is: 65,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.42 : 107,687.19 = 47,806.21 : x
  2. Step 2: Convert to fraction form
    78,052.42/107,687.19 = 47,806.21/x
  3. Step 3: Cross multiply
    78,052.42x = 107,687.19 × 47,806.21
  4. Step 4: Simplify right side
    78,052.42x = 5,148,116,150.23
  5. Step 5: Solve for x
    x = 5,148,116,150.23/78,052.42
  6. Step 6: Final answer
    x = 65,957.16

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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.