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Finding the Fourth Proportional to 208,112.46, 287,208.20 and 117,483.78

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Solution

The fourth proportional to 208,112.46, 287,208.20 and 117,483.78 is: 162,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.46 : 287,208.20 = 117,483.78 : x
  2. Step 2: Convert to fraction form
    208,112.46/287,208.20 = 117,483.78/x
  3. Step 3: Cross multiply
    208,112.46x = 287,208.20 × 117,483.78
  4. Step 4: Simplify right side
    208,112.46x = 33,742,304,983.00
  5. Step 5: Solve for x
    x = 33,742,304,983.00/208,112.46
  6. Step 6: Final answer
    x = 162,134.96

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1.5x scale

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.