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Finding the Fourth Proportional to 130,180.80, 195,125.40 and 74,047.80

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Solution

The fourth proportional to 130,180.80, 195,125.40 and 74,047.80 is: 110,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,180.80 : 195,125.40 = 74,047.80 : x
  2. Step 2: Convert to fraction form
    130,180.80/195,125.40 = 74,047.80/x
  3. Step 3: Cross multiply
    130,180.80x = 195,125.40 × 74,047.80
  4. Step 4: Simplify right side
    130,180.80x = 14,448,606,594.12
  5. Step 5: Solve for x
    x = 14,448,606,594.12/130,180.80
  6. Step 6: Final answer
    x = 110,988.77

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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.