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Finding the Fourth Proportional to 208,490.66, 312,736 and 83,802.50

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Solution

The fourth proportional to 208,490.66, 312,736 and 83,802.50 is: 125,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,490.66 : 312,736 = 83,802.50 : x
  2. Step 2: Convert to fraction form
    208,490.66/312,736 = 83,802.50/x
  3. Step 3: Cross multiply
    208,490.66x = 312,736 × 83,802.50
  4. Step 4: Simplify right side
    208,490.66x = 26,208,058,640
  5. Step 5: Solve for x
    x = 26,208,058,640/208,490.66
  6. Step 6: Final answer
    x = 125,703.75

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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.