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Finding the Fourth Proportional to 58,650, 87,965.76 and 19,206.24

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Solution

The fourth proportional to 58,650, 87,965.76 and 19,206.24 is: 28,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,650 : 87,965.76 = 19,206.24 : x
  2. Step 2: Convert to fraction form
    58,650/87,965.76 = 19,206.24/x
  3. Step 3: Cross multiply
    58,650x = 87,965.76 × 19,206.24
  4. Step 4: Simplify right side
    58,650x = 1,689,491,498.34
  5. Step 5: Solve for x
    x = 1,689,491,498.34/58,650
  6. Step 6: Final answer
    x = 28,806.33

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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.