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Finding the Fourth Proportional to 120,931.71, 181,293.48 and 53,412.54

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Solution

The fourth proportional to 120,931.71, 181,293.48 and 53,412.54 is: 80,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,931.71 : 181,293.48 = 53,412.54 : x
  2. Step 2: Convert to fraction form
    120,931.71/181,293.48 = 53,412.54/x
  3. Step 3: Cross multiply
    120,931.71x = 181,293.48 × 53,412.54
  4. Step 4: Simplify right side
    120,931.71x = 9,683,345,252.24
  5. Step 5: Solve for x
    x = 9,683,345,252.24/120,931.71
  6. Step 6: Final answer
    x = 80,072.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.