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Finding the Fourth Proportional to 208,153.64, 287,258.98 and 127,565.60

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Solution

The fourth proportional to 208,153.64, 287,258.98 and 127,565.60 is: 176,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,153.64 : 287,258.98 = 127,565.60 : x
  2. Step 2: Convert to fraction form
    208,153.64/287,258.98 = 127,565.60/x
  3. Step 3: Cross multiply
    208,153.64x = 287,258.98 × 127,565.60
  4. Step 4: Simplify right side
    208,153.64x = 36,644,364,139.09
  5. Step 5: Solve for x
    x = 36,644,364,139.09/208,153.64
  6. Step 6: Final answer
    x = 176,044.79

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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.