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Finding the Fourth Proportional to 47,075, 70,612.56 and 15,912.68

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Solution

The fourth proportional to 47,075, 70,612.56 and 15,912.68 is: 23,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,075 : 70,612.56 = 15,912.68 : x
  2. Step 2: Convert to fraction form
    47,075/70,612.56 = 15,912.68/x
  3. Step 3: Cross multiply
    47,075x = 70,612.56 × 15,912.68
  4. Step 4: Simplify right side
    47,075x = 1,123,635,071.26
  5. Step 5: Solve for x
    x = 1,123,635,071.26/47,075
  6. Step 6: Final answer
    x = 23,869.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.