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Finding the Fourth Proportional to 78,378.81, 108,100.21 and 51,548.87

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Solution

The fourth proportional to 78,378.81, 108,100.21 and 51,548.87 is: 71,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.81 : 108,100.21 = 51,548.87 : x
  2. Step 2: Convert to fraction form
    78,378.81/108,100.21 = 51,548.87/x
  3. Step 3: Cross multiply
    78,378.81x = 108,100.21 × 51,548.87
  4. Step 4: Simplify right side
    78,378.81x = 5,572,443,672.26
  5. Step 5: Solve for x
    x = 5,572,443,672.26/78,378.81
  6. Step 6: Final answer
    x = 71,096.30

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1.5x scale

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.