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Finding the Fourth Proportional to 78,096.68, 107,745.54 and 47,871.08

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Solution

The fourth proportional to 78,096.68, 107,745.54 and 47,871.08 is: 66,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.68 : 107,745.54 = 47,871.08 : x
  2. Step 2: Convert to fraction form
    78,096.68/107,745.54 = 47,871.08/x
  3. Step 3: Cross multiply
    78,096.68x = 107,745.54 × 47,871.08
  4. Step 4: Simplify right side
    78,096.68x = 5,157,895,364.98
  5. Step 5: Solve for x
    x = 5,157,895,364.98/78,096.68
  6. Step 6: Final answer
    x = 66,045.00

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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.