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Finding the Fourth Proportional to 105,682.64, 145,856.94 and 65,409.32

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Solution

The fourth proportional to 105,682.64, 145,856.94 and 65,409.32 is: 90,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,682.64 : 145,856.94 = 65,409.32 : x
  2. Step 2: Convert to fraction form
    105,682.64/145,856.94 = 65,409.32/x
  3. Step 3: Cross multiply
    105,682.64x = 145,856.94 × 65,409.32
  4. Step 4: Simplify right side
    105,682.64x = 9,540,403,262.68
  5. Step 5: Solve for x
    x = 9,540,403,262.68/105,682.64
  6. Step 6: Final answer
    x = 90,274.08

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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.