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Finding the Fourth Proportional to 209,853.16, 314,824.72 and 67,706.53

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Solution

The fourth proportional to 209,853.16, 314,824.72 and 67,706.53 is: 101,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853.16 : 314,824.72 = 67,706.53 : x
  2. Step 2: Convert to fraction form
    209,853.16/314,824.72 = 67,706.53/x
  3. Step 3: Cross multiply
    209,853.16x = 314,824.72 × 67,706.53
  4. Step 4: Simplify right side
    209,853.16x = 21,315,689,180.16
  5. Step 5: Solve for x
    x = 21,315,689,180.16/209,853.16
  6. Step 6: Final answer
    x = 101,574.31

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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.