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Finding the Fourth Proportional to 205,401.60, 308,419.20 and 112,089.60

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Solution

The fourth proportional to 205,401.60, 308,419.20 and 112,089.60 is: 168,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,401.60 : 308,419.20 = 112,089.60 : x
  2. Step 2: Convert to fraction form
    205,401.60/308,419.20 = 112,089.60/x
  3. Step 3: Cross multiply
    205,401.60x = 308,419.20 × 112,089.60
  4. Step 4: Simplify right side
    205,401.60x = 34,570,584,760.32
  5. Step 5: Solve for x
    x = 34,570,584,760.32/205,401.60
  6. Step 6: Final answer
    x = 168,307.28

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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.