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Finding the Fourth Proportional to 73,956, 102,061.80 and 40,424.16

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Solution

The fourth proportional to 73,956, 102,061.80 and 40,424.16 is: 55,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,956 : 102,061.80 = 40,424.16 : x
  2. Step 2: Convert to fraction form
    73,956/102,061.80 = 40,424.16/x
  3. Step 3: Cross multiply
    73,956x = 102,061.80 × 40,424.16
  4. Step 4: Simplify right side
    73,956x = 4,125,762,533.09
  5. Step 5: Solve for x
    x = 4,125,762,533.09/73,956
  6. Step 6: Final answer
    x = 55,786.72

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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.