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Finding the Fourth Proportional to 208,074.96, 287,066.63 and 136,552.16

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Solution

The fourth proportional to 208,074.96, 287,066.63 and 136,552.16 is: 188,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,074.96 : 287,066.63 = 136,552.16 : x
  2. Step 2: Convert to fraction form
    208,074.96/287,066.63 = 136,552.16/x
  3. Step 3: Cross multiply
    208,074.96x = 287,066.63 × 136,552.16
  4. Step 4: Simplify right side
    208,074.96x = 39,199,569,449.47
  5. Step 5: Solve for x
    x = 39,199,569,449.47/208,074.96
  6. Step 6: Final answer
    x = 188,391.58

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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.