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Finding the Fourth Proportional to 58,138, 87,220 and 21,202

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Solution

The fourth proportional to 58,138, 87,220 and 21,202 is: 31,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,138 : 87,220 = 21,202 : x
  2. Step 2: Convert to fraction form
    58,138/87,220 = 21,202/x
  3. Step 3: Cross multiply
    58,138x = 87,220 × 21,202
  4. Step 4: Simplify right side
    58,138x = 1,849,238,440
  5. Step 5: Solve for x
    x = 1,849,238,440/58,138
  6. Step 6: Final answer
    x = 31,807.74

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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.