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Finding the Fourth Proportional to 137,009.76, 205,518.29 and 48,243.08

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Solution

The fourth proportional to 137,009.76, 205,518.29 and 48,243.08 is: 72,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.76 : 205,518.29 = 48,243.08 : x
  2. Step 2: Convert to fraction form
    137,009.76/205,518.29 = 48,243.08/x
  3. Step 3: Cross multiply
    137,009.76x = 205,518.29 × 48,243.08
  4. Step 4: Simplify right side
    137,009.76x = 9,914,834,037.13
  5. Step 5: Solve for x
    x = 9,914,834,037.13/137,009.76
  6. Step 6: Final answer
    x = 72,365.90

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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.