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Finding the Fourth Proportional to 58,009, 87,013.50 and 21,081.64

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Solution

The fourth proportional to 58,009, 87,013.50 and 21,081.64 is: 31,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,009 : 87,013.50 = 21,081.64 : x
  2. Step 2: Convert to fraction form
    58,009/87,013.50 = 21,081.64/x
  3. Step 3: Cross multiply
    58,009x = 87,013.50 × 21,081.64
  4. Step 4: Simplify right side
    58,009x = 1,834,387,282.14
  5. Step 5: Solve for x
    x = 1,834,387,282.14/58,009
  6. Step 6: Final answer
    x = 31,622.46

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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.