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Finding the Fourth Proportional to 137,580.30, 206,329.59 and 53,321.67

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Solution

The fourth proportional to 137,580.30, 206,329.59 and 53,321.67 is: 79,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.30 : 206,329.59 = 53,321.67 : x
  2. Step 2: Convert to fraction form
    137,580.30/206,329.59 = 53,321.67/x
  3. Step 3: Cross multiply
    137,580.30x = 206,329.59 × 53,321.67
  4. Step 4: Simplify right side
    137,580.30x = 11,001,838,309.22
  5. Step 5: Solve for x
    x = 11,001,838,309.22/137,580.30
  6. Step 6: Final answer
    x = 79,966.67

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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.