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Finding the Fourth Proportional to 73,010.16, 109,549.32 and 71,830.80

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Solution

The fourth proportional to 73,010.16, 109,549.32 and 71,830.80 is: 107,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,010.16 : 109,549.32 = 71,830.80 : x
  2. Step 2: Convert to fraction form
    73,010.16/109,549.32 = 71,830.80/x
  3. Step 3: Cross multiply
    73,010.16x = 109,549.32 × 71,830.80
  4. Step 4: Simplify right side
    73,010.16x = 7,869,015,295.06
  5. Step 5: Solve for x
    x = 7,869,015,295.06/73,010.16
  6. Step 6: Final answer
    x = 107,779.73

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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.