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Finding the Fourth Proportional to 208,695.64, 287,992.20 and 113,199.16

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Solution

The fourth proportional to 208,695.64, 287,992.20 and 113,199.16 is: 156,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,695.64 : 287,992.20 = 113,199.16 : x
  2. Step 2: Convert to fraction form
    208,695.64/287,992.20 = 113,199.16/x
  3. Step 3: Cross multiply
    208,695.64x = 287,992.20 × 113,199.16
  4. Step 4: Simplify right side
    208,695.64x = 32,600,475,126.55
  5. Step 5: Solve for x
    x = 32,600,475,126.55/208,695.64
  6. Step 6: Final answer
    x = 156,210.62

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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.