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Finding the Fourth Proportional to 208,491.66, 312,737.50 and 83,803.50

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Solution

The fourth proportional to 208,491.66, 312,737.50 and 83,803.50 is: 125,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,491.66 : 312,737.50 = 83,803.50 : x
  2. Step 2: Convert to fraction form
    208,491.66/312,737.50 = 83,803.50/x
  3. Step 3: Cross multiply
    208,491.66x = 312,737.50 × 83,803.50
  4. Step 4: Simplify right side
    208,491.66x = 26,208,497,081.25
  5. Step 5: Solve for x
    x = 26,208,497,081.25/208,491.66
  6. Step 6: Final answer
    x = 125,705.25

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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.