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Finding the Fourth Proportional to 105,321.60, 145,376.64 and 86,659.20

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Solution

The fourth proportional to 105,321.60, 145,376.64 and 86,659.20 is: 119,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,321.60 : 145,376.64 = 86,659.20 : x
  2. Step 2: Convert to fraction form
    105,321.60/145,376.64 = 86,659.20/x
  3. Step 3: Cross multiply
    105,321.60x = 145,376.64 × 86,659.20
  4. Step 4: Simplify right side
    105,321.60x = 12,598,223,321.09
  5. Step 5: Solve for x
    x = 12,598,223,321.09/105,321.60
  6. Step 6: Final answer
    x = 119,616.71

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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.