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Finding the Fourth Proportional to 137,134.73, 205,707.50 and 42,356.47

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Solution

The fourth proportional to 137,134.73, 205,707.50 and 42,356.47 is: 63,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,134.73 : 205,707.50 = 42,356.47 : x
  2. Step 2: Convert to fraction form
    137,134.73/205,707.50 = 42,356.47/x
  3. Step 3: Cross multiply
    137,134.73x = 205,707.50 × 42,356.47
  4. Step 4: Simplify right side
    137,134.73x = 8,713,043,552.53
  5. Step 5: Solve for x
    x = 8,713,043,552.53/137,134.73
  6. Step 6: Final answer
    x = 63,536.37

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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.