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Finding the Fourth Proportional to 81,419.79, 122,130.29 and 25,258.84

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Solution

The fourth proportional to 81,419.79, 122,130.29 and 25,258.84 is: 37,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419.79 : 122,130.29 = 25,258.84 : x
  2. Step 2: Convert to fraction form
    81,419.79/122,130.29 = 25,258.84/x
  3. Step 3: Cross multiply
    81,419.79x = 122,130.29 × 25,258.84
  4. Step 4: Simplify right side
    81,419.79x = 3,084,869,454.26
  5. Step 5: Solve for x
    x = 3,084,869,454.26/81,419.79
  6. Step 6: Final answer
    x = 37,888.45

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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.