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Finding the Fourth Proportional to 138,411.96, 207,598.23 and 43,629.84

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Solution

The fourth proportional to 138,411.96, 207,598.23 and 43,629.84 is: 65,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.96 : 207,598.23 = 43,629.84 : x
  2. Step 2: Convert to fraction form
    138,411.96/207,598.23 = 43,629.84/x
  3. Step 3: Cross multiply
    138,411.96x = 207,598.23 × 43,629.84
  4. Step 4: Simplify right side
    138,411.96x = 9,057,477,559.18
  5. Step 5: Solve for x
    x = 9,057,477,559.18/138,411.96
  6. Step 6: Final answer
    x = 65,438.55

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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.