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Finding the Fourth Proportional to 105,538.92, 145,669.35 and 65,228.41

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Solution

The fourth proportional to 105,538.92, 145,669.35 and 65,228.41 is: 90,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538.92 : 145,669.35 = 65,228.41 : x
  2. Step 2: Convert to fraction form
    105,538.92/145,669.35 = 65,228.41/x
  3. Step 3: Cross multiply
    105,538.92x = 145,669.35 × 65,228.41
  4. Step 4: Simplify right side
    105,538.92x = 9,501,780,647.44
  5. Step 5: Solve for x
    x = 9,501,780,647.44/105,538.92
  6. Step 6: Final answer
    x = 90,031.05

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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.