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Finding the Fourth Proportional to 137,441.76, 205,812.60 and 90,552.48

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Solution

The fourth proportional to 137,441.76, 205,812.60 and 90,552.48 is: 135,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,441.76 : 205,812.60 = 90,552.48 : x
  2. Step 2: Convert to fraction form
    137,441.76/205,812.60 = 90,552.48/x
  3. Step 3: Cross multiply
    137,441.76x = 205,812.60 × 90,552.48
  4. Step 4: Simplify right side
    137,441.76x = 18,636,841,345.25
  5. Step 5: Solve for x
    x = 18,636,841,345.25/137,441.76
  6. Step 6: Final answer
    x = 135,598.10

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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.