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Finding the Fourth Proportional to 209,840.80, 314,854.16 and 109,977.12

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Solution

The fourth proportional to 209,840.80, 314,854.16 and 109,977.12 is: 165,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,840.80 : 314,854.16 = 109,977.12 : x
  2. Step 2: Convert to fraction form
    209,840.80/314,854.16 = 109,977.12/x
  3. Step 3: Cross multiply
    209,840.80x = 314,854.16 × 109,977.12
  4. Step 4: Simplify right side
    209,840.80x = 34,626,753,736.82
  5. Step 5: Solve for x
    x = 34,626,753,736.82/209,840.80
  6. Step 6: Final answer
    x = 165,014.40

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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.