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Finding the Fourth Proportional to 58,139, 87,221.50 and 21,203

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Solution

The fourth proportional to 58,139, 87,221.50 and 21,203 is: 31,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,139 : 87,221.50 = 21,203 : x
  2. Step 2: Convert to fraction form
    58,139/87,221.50 = 21,203/x
  3. Step 3: Cross multiply
    58,139x = 87,221.50 × 21,203
  4. Step 4: Simplify right side
    58,139x = 1,849,357,464.50
  5. Step 5: Solve for x
    x = 1,849,357,464.50/58,139
  6. Step 6: Final answer
    x = 31,809.24

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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.