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Finding the Fourth Proportional to 81,678.78, 122,525.73 and 31,762.63

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Solution

The fourth proportional to 81,678.78, 122,525.73 and 31,762.63 is: 47,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.78 : 122,525.73 = 31,762.63 : x
  2. Step 2: Convert to fraction form
    81,678.78/122,525.73 = 31,762.63/x
  3. Step 3: Cross multiply
    81,678.78x = 122,525.73 × 31,762.63
  4. Step 4: Simplify right side
    81,678.78x = 3,891,739,580.63
  5. Step 5: Solve for x
    x = 3,891,739,580.63/81,678.78
  6. Step 6: Final answer
    x = 47,646.89

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1.5x scale

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.