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Finding the Fourth Proportional to 202,148.55, 303,180.30 and 102,214.80

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Solution

The fourth proportional to 202,148.55, 303,180.30 and 102,214.80 is: 153,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148.55 : 303,180.30 = 102,214.80 : x
  2. Step 2: Convert to fraction form
    202,148.55/303,180.30 = 102,214.80/x
  3. Step 3: Cross multiply
    202,148.55x = 303,180.30 × 102,214.80
  4. Step 4: Simplify right side
    202,148.55x = 30,989,513,728.44
  5. Step 5: Solve for x
    x = 30,989,513,728.44/202,148.55
  6. Step 6: Final answer
    x = 153,300.70

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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.