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Finding the Fourth Proportional to 130,142.70, 195,212.70 and 66,980.52

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Solution

The fourth proportional to 130,142.70, 195,212.70 and 66,980.52 is: 100,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,142.70 : 195,212.70 = 66,980.52 : x
  2. Step 2: Convert to fraction form
    130,142.70/195,212.70 = 66,980.52/x
  3. Step 3: Cross multiply
    130,142.70x = 195,212.70 × 66,980.52
  4. Step 4: Simplify right side
    130,142.70x = 13,075,448,156.60
  5. Step 5: Solve for x
    x = 13,075,448,156.60/130,142.70
  6. Step 6: Final answer
    x = 100,470.09

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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.