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Finding the Fourth Proportional to 115,530.66, 159,433.41 and 67,784.82

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Solution

The fourth proportional to 115,530.66, 159,433.41 and 67,784.82 is: 93,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,530.66 : 159,433.41 = 67,784.82 : x
  2. Step 2: Convert to fraction form
    115,530.66/159,433.41 = 67,784.82/x
  3. Step 3: Cross multiply
    115,530.66x = 159,433.41 × 67,784.82
  4. Step 4: Simplify right side
    115,530.66x = 10,807,164,998.84
  5. Step 5: Solve for x
    x = 10,807,164,998.84/115,530.66
  6. Step 6: Final answer
    x = 93,543.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.