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Finding the Fourth Proportional to 209,763.49, 314,690.81 and 76,643.55

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Solution

The fourth proportional to 209,763.49, 314,690.81 and 76,643.55 is: 114,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,763.49 : 314,690.81 = 76,643.55 : x
  2. Step 2: Convert to fraction form
    209,763.49/314,690.81 = 76,643.55/x
  3. Step 3: Cross multiply
    209,763.49x = 314,690.81 × 76,643.55
  4. Step 4: Simplify right side
    209,763.49x = 24,119,020,830.78
  5. Step 5: Solve for x
    x = 24,119,020,830.78/209,763.49
  6. Step 6: Final answer
    x = 114,981.98

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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.