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Finding the Fourth Proportional to 242,114.40, 363,301.20 and 109,015.20

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Solution

The fourth proportional to 242,114.40, 363,301.20 and 109,015.20 is: 163,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,114.40 : 363,301.20 = 109,015.20 : x
  2. Step 2: Convert to fraction form
    242,114.40/363,301.20 = 109,015.20/x
  3. Step 3: Cross multiply
    242,114.40x = 363,301.20 × 109,015.20
  4. Step 4: Simplify right side
    242,114.40x = 39,605,352,978.24
  5. Step 5: Solve for x
    x = 39,605,352,978.24/242,114.40
  6. Step 6: Final answer
    x = 163,581.15

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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.