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Finding the Fourth Proportional to 208,291.81, 287,442.13 and 112,798.48

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Solution

The fourth proportional to 208,291.81, 287,442.13 and 112,798.48 is: 155,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,291.81 : 287,442.13 = 112,798.48 : x
  2. Step 2: Convert to fraction form
    208,291.81/287,442.13 = 112,798.48/x
  3. Step 3: Cross multiply
    208,291.81x = 287,442.13 × 112,798.48
  4. Step 4: Simplify right side
    208,291.81x = 32,423,034,787.97
  5. Step 5: Solve for x
    x = 32,423,034,787.97/208,291.81
  6. Step 6: Final answer
    x = 155,661.59

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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.