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Finding the Fourth Proportional to 137,021.76, 205,533.12 and 38,525.76

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Solution

The fourth proportional to 137,021.76, 205,533.12 and 38,525.76 is: 57,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,021.76 : 205,533.12 = 38,525.76 : x
  2. Step 2: Convert to fraction form
    137,021.76/205,533.12 = 38,525.76/x
  3. Step 3: Cross multiply
    137,021.76x = 205,533.12 × 38,525.76
  4. Step 4: Simplify right side
    137,021.76x = 7,918,319,653.17
  5. Step 5: Solve for x
    x = 7,918,319,653.17/137,021.76
  6. Step 6: Final answer
    x = 57,788.77

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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.