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Finding the Fourth Proportional to 130,577.60, 195,866.40 and 47,460.80

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Solution

The fourth proportional to 130,577.60, 195,866.40 and 47,460.80 is: 71,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,577.60 : 195,866.40 = 47,460.80 : x
  2. Step 2: Convert to fraction form
    130,577.60/195,866.40 = 47,460.80/x
  3. Step 3: Cross multiply
    130,577.60x = 195,866.40 × 47,460.80
  4. Step 4: Simplify right side
    130,577.60x = 9,295,976,037.12
  5. Step 5: Solve for x
    x = 9,295,976,037.12/130,577.60
  6. Step 6: Final answer
    x = 71,191.20

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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.