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Finding the Fourth Proportional to 208,670.64, 287,921.16 and 123,815.28

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Solution

The fourth proportional to 208,670.64, 287,921.16 and 123,815.28 is: 170,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,670.64 : 287,921.16 = 123,815.28 : x
  2. Step 2: Convert to fraction form
    208,670.64/287,921.16 = 123,815.28/x
  3. Step 3: Cross multiply
    208,670.64x = 287,921.16 × 123,815.28
  4. Step 4: Simplify right side
    208,670.64x = 35,649,039,043.32
  5. Step 5: Solve for x
    x = 35,649,039,043.32/208,670.64
  6. Step 6: Final answer
    x = 170,838.79

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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.