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Finding the Fourth Proportional to 159,681.60, 239,263.20 and 100,411.20

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Solution

The fourth proportional to 159,681.60, 239,263.20 and 100,411.20 is: 150,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,681.60 : 239,263.20 = 100,411.20 : x
  2. Step 2: Convert to fraction form
    159,681.60/239,263.20 = 100,411.20/x
  3. Step 3: Cross multiply
    159,681.60x = 239,263.20 × 100,411.20
  4. Step 4: Simplify right side
    159,681.60x = 24,024,705,027.84
  5. Step 5: Solve for x
    x = 24,024,705,027.84/159,681.60
  6. Step 6: Final answer
    x = 150,453.81

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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.