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Finding the Fourth Proportional to 81,833.51, 122,762.42 and 25,678.24

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Solution

The fourth proportional to 81,833.51, 122,762.42 and 25,678.24 is: 38,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.51 : 122,762.42 = 25,678.24 : x
  2. Step 2: Convert to fraction form
    81,833.51/122,762.42 = 25,678.24/x
  3. Step 3: Cross multiply
    81,833.51x = 122,762.42 × 25,678.24
  4. Step 4: Simplify right side
    81,833.51x = 3,152,322,883.74
  5. Step 5: Solve for x
    x = 3,152,322,883.74/81,833.51
  6. Step 6: Final answer
    x = 38,521.17

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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.