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Finding the Fourth Proportional to 105,321.66, 145,327.64 and 59,993.90

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Solution

The fourth proportional to 105,321.66, 145,327.64 and 59,993.90 is: 82,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,321.66 : 145,327.64 = 59,993.90 : x
  2. Step 2: Convert to fraction form
    105,321.66/145,327.64 = 59,993.90/x
  3. Step 3: Cross multiply
    105,321.66x = 145,327.64 × 59,993.90
  4. Step 4: Simplify right side
    105,321.66x = 8,718,771,901.40
  5. Step 5: Solve for x
    x = 8,718,771,901.40/105,321.66
  6. Step 6: Final answer
    x = 82,782.33

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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.