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Finding the Fourth Proportional to 208,112.17, 311,980.92 and 74,898.76

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Solution

The fourth proportional to 208,112.17, 311,980.92 and 74,898.76 is: 112,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.17 : 311,980.92 = 74,898.76 : x
  2. Step 2: Convert to fraction form
    208,112.17/311,980.92 = 74,898.76/x
  3. Step 3: Cross multiply
    208,112.17x = 311,980.92 × 74,898.76
  4. Step 4: Simplify right side
    208,112.17x = 23,366,984,051.66
  5. Step 5: Solve for x
    x = 23,366,984,051.66/208,112.17
  6. Step 6: Final answer
    x = 112,280.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.