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Finding the Fourth Proportional to 165,097.20, 247,645.80 and 141,477.60

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Solution

The fourth proportional to 165,097.20, 247,645.80 and 141,477.60 is: 212,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,097.20 : 247,645.80 = 141,477.60 : x
  2. Step 2: Convert to fraction form
    165,097.20/247,645.80 = 141,477.60/x
  3. Step 3: Cross multiply
    165,097.20x = 247,645.80 × 141,477.60
  4. Step 4: Simplify right side
    165,097.20x = 35,036,333,434.08
  5. Step 5: Solve for x
    x = 35,036,333,434.08/165,097.20
  6. Step 6: Final answer
    x = 212,216.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.