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Finding the Fourth Proportional to 145,228.77, 217,843.32 and 45,389.48

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Solution

The fourth proportional to 145,228.77, 217,843.32 and 45,389.48 is: 68,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,228.77 : 217,843.32 = 45,389.48 : x
  2. Step 2: Convert to fraction form
    145,228.77/217,843.32 = 45,389.48/x
  3. Step 3: Cross multiply
    145,228.77x = 217,843.32 × 45,389.48
  4. Step 4: Simplify right side
    145,228.77x = 9,887,796,054.44
  5. Step 5: Solve for x
    x = 9,887,796,054.44/145,228.77
  6. Step 6: Final answer
    x = 68,084.28

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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.