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Finding the Fourth Proportional to 196,809.60, 295,287.30 and 78,565.80

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Solution

The fourth proportional to 196,809.60, 295,287.30 and 78,565.80 is: 117,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809.60 : 295,287.30 = 78,565.80 : x
  2. Step 2: Convert to fraction form
    196,809.60/295,287.30 = 78,565.80/x
  3. Step 3: Cross multiply
    196,809.60x = 295,287.30 × 78,565.80
  4. Step 4: Simplify right side
    196,809.60x = 23,199,482,954.34
  5. Step 5: Solve for x
    x = 23,199,482,954.34/196,809.60
  6. Step 6: Final answer
    x = 117,877.80

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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.