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Finding the Fourth Proportional to 209,880.92, 314,868.15 and 76,758.23

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Solution

The fourth proportional to 209,880.92, 314,868.15 and 76,758.23 is: 115,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,880.92 : 314,868.15 = 76,758.23 : x
  2. Step 2: Convert to fraction form
    209,880.92/314,868.15 = 76,758.23/x
  3. Step 3: Cross multiply
    209,880.92x = 314,868.15 × 76,758.23
  4. Step 4: Simplify right side
    209,880.92x = 24,168,720,303.03
  5. Step 5: Solve for x
    x = 24,168,720,303.03/209,880.92
  6. Step 6: Final answer
    x = 115,154.45

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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.