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Finding the Fourth Proportional to 208,530.64, 287,764.54 and 113,035.28

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Solution

The fourth proportional to 208,530.64, 287,764.54 and 113,035.28 is: 155,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530.64 : 287,764.54 = 113,035.28 : x
  2. Step 2: Convert to fraction form
    208,530.64/287,764.54 = 113,035.28/x
  3. Step 3: Cross multiply
    208,530.64x = 287,764.54 × 113,035.28
  4. Step 4: Simplify right side
    208,530.64x = 32,527,545,352.97
  5. Step 5: Solve for x
    x = 32,527,545,352.97/208,530.64
  6. Step 6: Final answer
    x = 155,984.49

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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.