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Finding the Fourth Proportional to 130,809.60, 196,012.80 and 97,372.80

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Solution

The fourth proportional to 130,809.60, 196,012.80 and 97,372.80 is: 145,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,809.60 : 196,012.80 = 97,372.80 : x
  2. Step 2: Convert to fraction form
    130,809.60/196,012.80 = 97,372.80/x
  3. Step 3: Cross multiply
    130,809.60x = 196,012.80 × 97,372.80
  4. Step 4: Simplify right side
    130,809.60x = 19,086,315,171.84
  5. Step 5: Solve for x
    x = 19,086,315,171.84/130,809.60
  6. Step 6: Final answer
    x = 145,909.13

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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.