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Finding the Fourth Proportional to 208,643.40, 312,892.20 and 108,770.40

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Solution

The fourth proportional to 208,643.40, 312,892.20 and 108,770.40 is: 163,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,643.40 : 312,892.20 = 108,770.40 : x
  2. Step 2: Convert to fraction form
    208,643.40/312,892.20 = 108,770.40/x
  3. Step 3: Cross multiply
    208,643.40x = 312,892.20 × 108,770.40
  4. Step 4: Simplify right side
    208,643.40x = 34,033,409,750.88
  5. Step 5: Solve for x
    x = 34,033,409,750.88/208,643.40
  6. Step 6: Final answer
    x = 163,117.60

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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.