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Finding the Fourth Proportional to 78,670.80, 117,381.24 and 73,096.56

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Solution

The fourth proportional to 78,670.80, 117,381.24 and 73,096.56 is: 109,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,670.80 : 117,381.24 = 73,096.56 : x
  2. Step 2: Convert to fraction form
    78,670.80/117,381.24 = 73,096.56/x
  3. Step 3: Cross multiply
    78,670.80x = 117,381.24 × 73,096.56
  4. Step 4: Simplify right side
    78,670.80x = 8,580,164,852.53
  5. Step 5: Solve for x
    x = 8,580,164,852.53/78,670.80
  6. Step 6: Final answer
    x = 109,064.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.