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Finding the Fourth Proportional to 102,238.40, 153,357.60 and 70,745.60

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Solution

The fourth proportional to 102,238.40, 153,357.60 and 70,745.60 is: 106,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.40 : 153,357.60 = 70,745.60 : x
  2. Step 2: Convert to fraction form
    102,238.40/153,357.60 = 70,745.60/x
  3. Step 3: Cross multiply
    102,238.40x = 153,357.60 × 70,745.60
  4. Step 4: Simplify right side
    102,238.40x = 10,849,375,426.56
  5. Step 5: Solve for x
    x = 10,849,375,426.56/102,238.40
  6. Step 6: Final answer
    x = 106,118.40

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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.