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Finding the Fourth Proportional to 142,799.60, 213,994.60 and 105,065.20

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Solution

The fourth proportional to 142,799.60, 213,994.60 and 105,065.20 is: 157,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,799.60 : 213,994.60 = 105,065.20 : x
  2. Step 2: Convert to fraction form
    142,799.60/213,994.60 = 105,065.20/x
  3. Step 3: Cross multiply
    142,799.60x = 213,994.60 × 105,065.20
  4. Step 4: Simplify right side
    142,799.60x = 22,483,385,447.92
  5. Step 5: Solve for x
    x = 22,483,385,447.92/142,799.60
  6. Step 6: Final answer
    x = 157,447.12

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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.