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Finding the Fourth Proportional to 130,118.40, 195,043.20 and 70,828.80

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Solution

The fourth proportional to 130,118.40, 195,043.20 and 70,828.80 is: 106,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,118.40 : 195,043.20 = 70,828.80 : x
  2. Step 2: Convert to fraction form
    130,118.40/195,043.20 = 70,828.80/x
  3. Step 3: Cross multiply
    130,118.40x = 195,043.20 × 70,828.80
  4. Step 4: Simplify right side
    130,118.40x = 13,814,675,804.16
  5. Step 5: Solve for x
    x = 13,814,675,804.16/130,118.40
  6. Step 6: Final answer
    x = 106,170.04

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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.