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Finding the Fourth Proportional to 208,643.24, 312,961.62 and 83,981

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Solution

The fourth proportional to 208,643.24, 312,961.62 and 83,981 is: 125,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,643.24 : 312,961.62 = 83,981 : x
  2. Step 2: Convert to fraction form
    208,643.24/312,961.62 = 83,981/x
  3. Step 3: Cross multiply
    208,643.24x = 312,961.62 × 83,981
  4. Step 4: Simplify right side
    208,643.24x = 26,282,829,809.22
  5. Step 5: Solve for x
    x = 26,282,829,809.22/208,643.24
  6. Step 6: Final answer
    x = 125,970.20

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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.