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Finding the Fourth Proportional to 81,097.61, 121,483.29 and 40,448.57

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Solution

The fourth proportional to 81,097.61, 121,483.29 and 40,448.57 is: 60,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,097.61 : 121,483.29 = 40,448.57 : x
  2. Step 2: Convert to fraction form
    81,097.61/121,483.29 = 40,448.57/x
  3. Step 3: Cross multiply
    81,097.61x = 121,483.29 × 40,448.57
  4. Step 4: Simplify right side
    81,097.61x = 4,913,824,903.66
  5. Step 5: Solve for x
    x = 4,913,824,903.66/81,097.61
  6. Step 6: Final answer
    x = 60,591.49

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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.