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Finding the Fourth Proportional to 208,303.71, 287,244.14 and 178,188.72

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Solution

The fourth proportional to 208,303.71, 287,244.14 and 178,188.72 is: 245,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,303.71 : 287,244.14 = 178,188.72 : x
  2. Step 2: Convert to fraction form
    208,303.71/287,244.14 = 178,188.72/x
  3. Step 3: Cross multiply
    208,303.71x = 287,244.14 × 178,188.72
  4. Step 4: Simplify right side
    208,303.71x = 51,183,664,743.16
  5. Step 5: Solve for x
    x = 51,183,664,743.16/208,303.71
  6. Step 6: Final answer
    x = 245,716.53

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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.