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Finding the Fourth Proportional to 105,665.73, 145,833.65 and 65,392.47

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Solution

The fourth proportional to 105,665.73, 145,833.65 and 65,392.47 is: 90,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,665.73 : 145,833.65 = 65,392.47 : x
  2. Step 2: Convert to fraction form
    105,665.73/145,833.65 = 65,392.47/x
  3. Step 3: Cross multiply
    105,665.73x = 145,833.65 × 65,392.47
  4. Step 4: Simplify right side
    105,665.73x = 9,536,422,582.62
  5. Step 5: Solve for x
    x = 9,536,422,582.62/105,665.73
  6. Step 6: Final answer
    x = 90,250.86

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1.5x scale

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.