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Finding the Fourth Proportional to 209,970.82, 314,982.96 and 76,913.74

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Solution

The fourth proportional to 209,970.82, 314,982.96 and 76,913.74 is: 115,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,970.82 : 314,982.96 = 76,913.74 : x
  2. Step 2: Convert to fraction form
    209,970.82/314,982.96 = 76,913.74/x
  3. Step 3: Cross multiply
    209,970.82x = 314,982.96 × 76,913.74
  4. Step 4: Simplify right side
    209,970.82x = 24,226,517,489.87
  5. Step 5: Solve for x
    x = 24,226,517,489.87/209,970.82
  6. Step 6: Final answer
    x = 115,380.40

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1.5x scale

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.