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Finding the Fourth Proportional to 208,139.70, 287,258.22 and 127,578.72

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Solution

The fourth proportional to 208,139.70, 287,258.22 and 127,578.72 is: 176,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,139.70 : 287,258.22 = 127,578.72 : x
  2. Step 2: Convert to fraction form
    208,139.70/287,258.22 = 127,578.72/x
  3. Step 3: Cross multiply
    208,139.70x = 287,258.22 × 127,578.72
  4. Step 4: Simplify right side
    208,139.70x = 36,648,036,017.08
  5. Step 5: Solve for x
    x = 36,648,036,017.08/208,139.70
  6. Step 6: Final answer
    x = 176,074.22

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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.