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Finding the Fourth Proportional to 208,495.32, 287,723.40 and 113,001.96

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Solution

The fourth proportional to 208,495.32, 287,723.40 and 113,001.96 is: 155,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,495.32 : 287,723.40 = 113,001.96 : x
  2. Step 2: Convert to fraction form
    208,495.32/287,723.40 = 113,001.96/x
  3. Step 3: Cross multiply
    208,495.32x = 287,723.40 × 113,001.96
  4. Step 4: Simplify right side
    208,495.32x = 32,513,308,137.86
  5. Step 5: Solve for x
    x = 32,513,308,137.86/208,495.32
  6. Step 6: Final answer
    x = 155,942.63

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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.