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Finding the Fourth Proportional to 240,144, 360,102.84 and 140,332.92

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Solution

The fourth proportional to 240,144, 360,102.84 and 140,332.92 is: 210,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,144 : 360,102.84 = 140,332.92 : x
  2. Step 2: Convert to fraction form
    240,144/360,102.84 = 140,332.92/x
  3. Step 3: Cross multiply
    240,144x = 360,102.84 × 140,332.92
  4. Step 4: Simplify right side
    240,144x = 50,534,283,037.49
  5. Step 5: Solve for x
    x = 50,534,283,037.49/240,144
  6. Step 6: Final answer
    x = 210,433.25

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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.