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Finding the Fourth Proportional to 208,302.98, 287,458.27 and 117,659.12

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Solution

The fourth proportional to 208,302.98, 287,458.27 and 117,659.12 is: 162,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,302.98 : 287,458.27 = 117,659.12 : x
  2. Step 2: Convert to fraction form
    208,302.98/287,458.27 = 117,659.12/x
  3. Step 3: Cross multiply
    208,302.98x = 287,458.27 × 117,659.12
  4. Step 4: Simplify right side
    208,302.98x = 33,822,085,353.48
  5. Step 5: Solve for x
    x = 33,822,085,353.48/208,302.98
  6. Step 6: Final answer
    x = 162,369.67

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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.