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Finding the Fourth Proportional to 105,265.74, 145,250.10 and 59,918.31

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Solution

The fourth proportional to 105,265.74, 145,250.10 and 59,918.31 is: 82,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,265.74 : 145,250.10 = 59,918.31 : x
  2. Step 2: Convert to fraction form
    105,265.74/145,250.10 = 59,918.31/x
  3. Step 3: Cross multiply
    105,265.74x = 145,250.10 × 59,918.31
  4. Step 4: Simplify right side
    105,265.74x = 8,703,140,519.33
  5. Step 5: Solve for x
    x = 8,703,140,519.33/105,265.74
  6. Step 6: Final answer
    x = 82,677.81

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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.