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Finding the Fourth Proportional to 137,458.74, 205,838.10 and 90,569.46

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Solution

The fourth proportional to 137,458.74, 205,838.10 and 90,569.46 is: 135,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,458.74 : 205,838.10 = 90,569.46 : x
  2. Step 2: Convert to fraction form
    137,458.74/205,838.10 = 90,569.46/x
  3. Step 3: Cross multiply
    137,458.74x = 205,838.10 × 90,569.46
  4. Step 4: Simplify right side
    137,458.74x = 18,642,645,564.43
  5. Step 5: Solve for x
    x = 18,642,645,564.43/137,458.74
  6. Step 6: Final answer
    x = 135,623.57

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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.