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Finding the Fourth Proportional to 78,133.83, 107,824.82 and 42,324.14

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Solution

The fourth proportional to 78,133.83, 107,824.82 and 42,324.14 is: 58,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.83 : 107,824.82 = 42,324.14 : x
  2. Step 2: Convert to fraction form
    78,133.83/107,824.82 = 42,324.14/x
  3. Step 3: Cross multiply
    78,133.83x = 107,824.82 × 42,324.14
  4. Step 4: Simplify right side
    78,133.83x = 4,563,592,026.41
  5. Step 5: Solve for x
    x = 4,563,592,026.41/78,133.83
  6. Step 6: Final answer
    x = 58,407.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.