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Finding the Fourth Proportional to 195,686.40, 293,140.80 and 106,780.80

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Solution

The fourth proportional to 195,686.40, 293,140.80 and 106,780.80 is: 159,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,686.40 : 293,140.80 = 106,780.80 : x
  2. Step 2: Convert to fraction form
    195,686.40/293,140.80 = 106,780.80/x
  3. Step 3: Cross multiply
    195,686.40x = 293,140.80 × 106,780.80
  4. Step 4: Simplify right side
    195,686.40x = 31,301,809,136.64
  5. Step 5: Solve for x
    x = 31,301,809,136.64/195,686.40
  6. Step 6: Final answer
    x = 159,959.04

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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.