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Finding the Fourth Proportional to 102,285.57, 153,480.90 and 45,398.46

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Solution

The fourth proportional to 102,285.57, 153,480.90 and 45,398.46 is: 68,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,285.57 : 153,480.90 = 45,398.46 : x
  2. Step 2: Convert to fraction form
    102,285.57/153,480.90 = 45,398.46/x
  3. Step 3: Cross multiply
    102,285.57x = 153,480.90 × 45,398.46
  4. Step 4: Simplify right side
    102,285.57x = 6,967,796,499.41
  5. Step 5: Solve for x
    x = 6,967,796,499.41/102,285.57
  6. Step 6: Final answer
    x = 68,121.01

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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.