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Finding the Fourth Proportional to 137,728.44, 190,067.58 and 76,473

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Solution

The fourth proportional to 137,728.44, 190,067.58 and 76,473 is: 105,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.44 : 190,067.58 = 76,473 : x
  2. Step 2: Convert to fraction form
    137,728.44/190,067.58 = 76,473/x
  3. Step 3: Cross multiply
    137,728.44x = 190,067.58 × 76,473
  4. Step 4: Simplify right side
    137,728.44x = 14,535,038,045.34
  5. Step 5: Solve for x
    x = 14,535,038,045.34/137,728.44
  6. Step 6: Final answer
    x = 105,534.04

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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.