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Finding the Fourth Proportional to 145,874.78, 201,230.06 and 100,474.68

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Solution

The fourth proportional to 145,874.78, 201,230.06 and 100,474.68 is: 138,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.78 : 201,230.06 = 100,474.68 : x
  2. Step 2: Convert to fraction form
    145,874.78/201,230.06 = 100,474.68/x
  3. Step 3: Cross multiply
    145,874.78x = 201,230.06 × 100,474.68
  4. Step 4: Simplify right side
    145,874.78x = 20,218,525,382.51
  5. Step 5: Solve for x
    x = 20,218,525,382.51/145,874.78
  6. Step 6: Final answer
    x = 138,601.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.