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Finding the Fourth Proportional to 105,676.08, 145,847.88 and 65,402.80

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Solution

The fourth proportional to 105,676.08, 145,847.88 and 65,402.80 is: 90,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.08 : 145,847.88 = 65,402.80 : x
  2. Step 2: Convert to fraction form
    105,676.08/145,847.88 = 65,402.80/x
  3. Step 3: Cross multiply
    105,676.08x = 145,847.88 × 65,402.80
  4. Step 4: Simplify right side
    105,676.08x = 9,538,859,726.06
  5. Step 5: Solve for x
    x = 9,538,859,726.06/105,676.08
  6. Step 6: Final answer
    x = 90,265.08

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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.