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Finding the Fourth Proportional to 140,729.60, 210,915.20 and 57,529.60

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Solution

The fourth proportional to 140,729.60, 210,915.20 and 57,529.60 is: 86,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,729.60 : 210,915.20 = 57,529.60 : x
  2. Step 2: Convert to fraction form
    140,729.60/210,915.20 = 57,529.60/x
  3. Step 3: Cross multiply
    140,729.60x = 210,915.20 × 57,529.60
  4. Step 4: Simplify right side
    140,729.60x = 12,133,867,089.92
  5. Step 5: Solve for x
    x = 12,133,867,089.92/140,729.60
  6. Step 6: Final answer
    x = 86,221.14

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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.