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Finding the Fourth Proportional to 105,091.80, 157,637.70 and 65,770.20

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Solution

The fourth proportional to 105,091.80, 157,637.70 and 65,770.20 is: 98,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,091.80 : 157,637.70 = 65,770.20 : x
  2. Step 2: Convert to fraction form
    105,091.80/157,637.70 = 65,770.20/x
  3. Step 3: Cross multiply
    105,091.80x = 157,637.70 × 65,770.20
  4. Step 4: Simplify right side
    105,091.80x = 10,367,863,056.54
  5. Step 5: Solve for x
    x = 10,367,863,056.54/105,091.80
  6. Step 6: Final answer
    x = 98,655.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.