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Finding the Fourth Proportional to 289,763.56, 434,706.78 and 90,079.08

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Solution

The fourth proportional to 289,763.56, 434,706.78 and 90,079.08 is: 135,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,763.56 : 434,706.78 = 90,079.08 : x
  2. Step 2: Convert to fraction form
    289,763.56/434,706.78 = 90,079.08/x
  3. Step 3: Cross multiply
    289,763.56x = 434,706.78 × 90,079.08
  4. Step 4: Simplify right side
    289,763.56x = 39,157,986,812.16
  5. Step 5: Solve for x
    x = 39,157,986,812.16/289,763.56
  6. Step 6: Final answer
    x = 135,137.72

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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.