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Finding the Fourth Proportional to 71,312.65, 106,962.59 and 21,403.89

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Solution

The fourth proportional to 71,312.65, 106,962.59 and 21,403.89 is: 32,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312.65 : 106,962.59 = 21,403.89 : x
  2. Step 2: Convert to fraction form
    71,312.65/106,962.59 = 21,403.89/x
  3. Step 3: Cross multiply
    71,312.65x = 106,962.59 × 21,403.89
  4. Step 4: Simplify right side
    71,312.65x = 2,289,415,563.98
  5. Step 5: Solve for x
    x = 2,289,415,563.98/71,312.65
  6. Step 6: Final answer
    x = 32,103.92

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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.