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Finding the Fourth Proportional to 208,215.34, 312,381.33 and 83,643.82

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Solution

The fourth proportional to 208,215.34, 312,381.33 and 83,643.82 is: 125,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,215.34 : 312,381.33 = 83,643.82 : x
  2. Step 2: Convert to fraction form
    208,215.34/312,381.33 = 83,643.82/x
  3. Step 3: Cross multiply
    208,215.34x = 312,381.33 × 83,643.82
  4. Step 4: Simplify right side
    208,215.34x = 26,128,767,737.88
  5. Step 5: Solve for x
    x = 26,128,767,737.88/208,215.34
  6. Step 6: Final answer
    x = 125,489.16

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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.