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Finding the Fourth Proportional to 105,830.38, 146,035.29 and 63,387.82

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Solution

The fourth proportional to 105,830.38, 146,035.29 and 63,387.82 is: 87,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,830.38 : 146,035.29 = 63,387.82 : x
  2. Step 2: Convert to fraction form
    105,830.38/146,035.29 = 63,387.82/x
  3. Step 3: Cross multiply
    105,830.38x = 146,035.29 × 63,387.82
  4. Step 4: Simplify right side
    105,830.38x = 9,256,858,676.17
  5. Step 5: Solve for x
    x = 9,256,858,676.17/105,830.38
  6. Step 6: Final answer
    x = 87,468.82

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