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Finding the Fourth Proportional to 208,530.24, 287,904.80 and 137,037.12

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Solution

The fourth proportional to 208,530.24, 287,904.80 and 137,037.12 is: 189,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530.24 : 287,904.80 = 137,037.12 : x
  2. Step 2: Convert to fraction form
    208,530.24/287,904.80 = 137,037.12/x
  3. Step 3: Cross multiply
    208,530.24x = 287,904.80 × 137,037.12
  4. Step 4: Simplify right side
    208,530.24x = 39,453,644,626.18
  5. Step 5: Solve for x
    x = 39,453,644,626.18/208,530.24
  6. Step 6: Final answer
    x = 189,198.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.