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Finding the Fourth Proportional to 181,854.09, 272,781.15 and 55,495

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Solution

The fourth proportional to 181,854.09, 272,781.15 and 55,495 is: 83,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,854.09 : 272,781.15 = 55,495 : x
  2. Step 2: Convert to fraction form
    181,854.09/272,781.15 = 55,495/x
  3. Step 3: Cross multiply
    181,854.09x = 272,781.15 × 55,495
  4. Step 4: Simplify right side
    181,854.09x = 15,137,989,919.25
  5. Step 5: Solve for x
    x = 15,137,989,919.25/181,854.09
  6. Step 6: Final answer
    x = 83,242.50

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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.