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Finding the Fourth Proportional to 58,136, 87,217 and 21,200

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Solution

The fourth proportional to 58,136, 87,217 and 21,200 is: 31,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,136 : 87,217 = 21,200 : x
  2. Step 2: Convert to fraction form
    58,136/87,217 = 21,200/x
  3. Step 3: Cross multiply
    58,136x = 87,217 × 21,200
  4. Step 4: Simplify right side
    58,136x = 1,849,000,400
  5. Step 5: Solve for x
    x = 1,849,000,400/58,136
  6. Step 6: Final answer
    x = 31,804.74

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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.