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Finding the Fourth Proportional to 105,157.80, 145,115.86 and 59,834.80

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Solution

The fourth proportional to 105,157.80, 145,115.86 and 59,834.80 is: 82,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,157.80 : 145,115.86 = 59,834.80 : x
  2. Step 2: Convert to fraction form
    105,157.80/145,115.86 = 59,834.80/x
  3. Step 3: Cross multiply
    105,157.80x = 145,115.86 × 59,834.80
  4. Step 4: Simplify right side
    105,157.80x = 8,682,978,459.93
  5. Step 5: Solve for x
    x = 8,682,978,459.93/105,157.80
  6. Step 6: Final answer
    x = 82,570.94

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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.