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Finding the Fourth Proportional to 71,196, 106,790.32 and 21,276.51

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Solution

The fourth proportional to 71,196, 106,790.32 and 21,276.51 is: 31,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,196 : 106,790.32 = 21,276.51 : x
  2. Step 2: Convert to fraction form
    71,196/106,790.32 = 21,276.51/x
  3. Step 3: Cross multiply
    71,196x = 106,790.32 × 21,276.51
  4. Step 4: Simplify right side
    71,196x = 2,272,125,311.38
  5. Step 5: Solve for x
    x = 2,272,125,311.38/71,196
  6. Step 6: Final answer
    x = 31,913.67

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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.