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Finding the Fourth Proportional to 255,141.20, 382,711.80 and 65,601.20

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Solution

The fourth proportional to 255,141.20, 382,711.80 and 65,601.20 is: 98,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,141.20 : 382,711.80 = 65,601.20 : x
  2. Step 2: Convert to fraction form
    255,141.20/382,711.80 = 65,601.20/x
  3. Step 3: Cross multiply
    255,141.20x = 382,711.80 × 65,601.20
  4. Step 4: Simplify right side
    255,141.20x = 25,106,353,334.16
  5. Step 5: Solve for x
    x = 25,106,353,334.16/255,141.20
  6. Step 6: Final answer
    x = 98,401.80

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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.