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Finding the Fourth Proportional to 202,278.90, 303,345.45 and 102,405.90

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Solution

The fourth proportional to 202,278.90, 303,345.45 and 102,405.90 is: 153,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,278.90 : 303,345.45 = 102,405.90 : x
  2. Step 2: Convert to fraction form
    202,278.90/303,345.45 = 102,405.90/x
  3. Step 3: Cross multiply
    202,278.90x = 303,345.45 × 102,405.90
  4. Step 4: Simplify right side
    202,278.90x = 31,064,363,818.16
  5. Step 5: Solve for x
    x = 31,064,363,818.16/202,278.90
  6. Step 6: Final answer
    x = 153,571.94

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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.