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Finding the Fourth Proportional to 121,164.81, 181,734.26 and 42,280.53

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Solution

The fourth proportional to 121,164.81, 181,734.26 and 42,280.53 is: 63,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,164.81 : 181,734.26 = 42,280.53 : x
  2. Step 2: Convert to fraction form
    121,164.81/181,734.26 = 42,280.53/x
  3. Step 3: Cross multiply
    121,164.81x = 181,734.26 × 42,280.53
  4. Step 4: Simplify right side
    121,164.81x = 7,683,820,620.56
  5. Step 5: Solve for x
    x = 7,683,820,620.56/121,164.81
  6. Step 6: Final answer
    x = 63,416.27

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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.