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Finding the Fourth Proportional to 130,276.80, 195,415.20 and 102,283.20

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Solution

The fourth proportional to 130,276.80, 195,415.20 and 102,283.20 is: 153,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,276.80 : 195,415.20 = 102,283.20 : x
  2. Step 2: Convert to fraction form
    130,276.80/195,415.20 = 102,283.20/x
  3. Step 3: Cross multiply
    130,276.80x = 195,415.20 × 102,283.20
  4. Step 4: Simplify right side
    130,276.80x = 19,987,691,984.64
  5. Step 5: Solve for x
    x = 19,987,691,984.64/130,276.80
  6. Step 6: Final answer
    x = 153,424.80

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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.