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Finding the Fourth Proportional to 255,043.20, 382,710.60 and 97,384.80

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Solution

The fourth proportional to 255,043.20, 382,710.60 and 97,384.80 is: 146,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,043.20 : 382,710.60 = 97,384.80 : x
  2. Step 2: Convert to fraction form
    255,043.20/382,710.60 = 97,384.80/x
  3. Step 3: Cross multiply
    255,043.20x = 382,710.60 × 97,384.80
  4. Step 4: Simplify right side
    255,043.20x = 37,270,195,238.88
  5. Step 5: Solve for x
    x = 37,270,195,238.88/255,043.20
  6. Step 6: Final answer
    x = 146,132.87

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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.