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Finding the Fourth Proportional to 145,126, 217,689 and 51,632.02

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Solution

The fourth proportional to 145,126, 217,689 and 51,632.02 is: 77,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,126 : 217,689 = 51,632.02 : x
  2. Step 2: Convert to fraction form
    145,126/217,689 = 51,632.02/x
  3. Step 3: Cross multiply
    145,126x = 217,689 × 51,632.02
  4. Step 4: Simplify right side
    145,126x = 11,239,722,801.78
  5. Step 5: Solve for x
    x = 11,239,722,801.78/145,126
  6. Step 6: Final answer
    x = 77,448.03

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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.