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Finding the Fourth Proportional to 145,260, 200,469.74 and 88,682.31

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Solution

The fourth proportional to 145,260, 200,469.74 and 88,682.31 is: 122,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,260 : 200,469.74 = 88,682.31 : x
  2. Step 2: Convert to fraction form
    145,260/200,469.74 = 88,682.31/x
  3. Step 3: Cross multiply
    145,260x = 200,469.74 × 88,682.31
  4. Step 4: Simplify right side
    145,260x = 17,778,119,184.89
  5. Step 5: Solve for x
    x = 17,778,119,184.89/145,260
  6. Step 6: Final answer
    x = 122,388.26

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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.