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Finding the Fourth Proportional to 153,912.60, 230,868.90 and 142,507.80

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Solution

The fourth proportional to 153,912.60, 230,868.90 and 142,507.80 is: 213,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,912.60 : 230,868.90 = 142,507.80 : x
  2. Step 2: Convert to fraction form
    153,912.60/230,868.90 = 142,507.80/x
  3. Step 3: Cross multiply
    153,912.60x = 230,868.90 × 142,507.80
  4. Step 4: Simplify right side
    153,912.60x = 32,900,619,027.42
  5. Step 5: Solve for x
    x = 32,900,619,027.42/153,912.60
  6. Step 6: Final answer
    x = 213,761.70

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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.