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Finding the Fourth Proportional to 97,686.25, 134,809.45 and 54,664.31

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Solution

The fourth proportional to 97,686.25, 134,809.45 and 54,664.31 is: 75,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,686.25 : 134,809.45 = 54,664.31 : x
  2. Step 2: Convert to fraction form
    97,686.25/134,809.45 = 54,664.31/x
  3. Step 3: Cross multiply
    97,686.25x = 134,809.45 × 54,664.31
  4. Step 4: Simplify right side
    97,686.25x = 7,369,265,766.09
  5. Step 5: Solve for x
    x = 7,369,265,766.09/97,686.25
  6. Step 6: Final answer
    x = 75,438.11

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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.