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Finding the Fourth Proportional to 138,265.42, 190,824.47 and 77,847.84

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Solution

The fourth proportional to 138,265.42, 190,824.47 and 77,847.84 is: 107,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,265.42 : 190,824.47 = 77,847.84 : x
  2. Step 2: Convert to fraction form
    138,265.42/190,824.47 = 77,847.84/x
  3. Step 3: Cross multiply
    138,265.42x = 190,824.47 × 77,847.84
  4. Step 4: Simplify right side
    138,265.42x = 14,855,271,955.69
  5. Step 5: Solve for x
    x = 14,855,271,955.69/138,265.42
  6. Step 6: Final answer
    x = 107,440.26

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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.