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Finding the Fourth Proportional to 121,314.98, 181,989.48 and 42,411.26

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Solution

The fourth proportional to 121,314.98, 181,989.48 and 42,411.26 is: 63,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,314.98 : 181,989.48 = 42,411.26 : x
  2. Step 2: Convert to fraction form
    121,314.98/181,989.48 = 42,411.26/x
  3. Step 3: Cross multiply
    121,314.98x = 181,989.48 × 42,411.26
  4. Step 4: Simplify right side
    121,314.98x = 7,718,403,153.54
  5. Step 5: Solve for x
    x = 7,718,403,153.54/121,314.98
  6. Step 6: Final answer
    x = 63,622.84

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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.