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Finding the Fourth Proportional to 208,854.32, 312,860.12 and 96,378.28

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Solution

The fourth proportional to 208,854.32, 312,860.12 and 96,378.28 is: 144,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.32 : 312,860.12 = 96,378.28 : x
  2. Step 2: Convert to fraction form
    208,854.32/312,860.12 = 96,378.28/x
  3. Step 3: Cross multiply
    208,854.32x = 312,860.12 × 96,378.28
  4. Step 4: Simplify right side
    208,854.32x = 30,152,918,982.15
  5. Step 5: Solve for x
    x = 30,152,918,982.15/208,854.32
  6. Step 6: Final answer
    x = 144,372.98

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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.