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Finding the Fourth Proportional to 71,762.72, 99,023.64 and 39,929.36

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Solution

The fourth proportional to 71,762.72, 99,023.64 and 39,929.36 is: 55,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.72 : 99,023.64 = 39,929.36 : x
  2. Step 2: Convert to fraction form
    71,762.72/99,023.64 = 39,929.36/x
  3. Step 3: Cross multiply
    71,762.72x = 99,023.64 × 39,929.36
  4. Step 4: Simplify right side
    71,762.72x = 3,953,950,570.07
  5. Step 5: Solve for x
    x = 3,953,950,570.07/71,762.72
  6. Step 6: Final answer
    x = 55,097.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.