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Finding the Fourth Proportional to 77,157.68, 115,707.15 and 27,228.47

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Solution

The fourth proportional to 77,157.68, 115,707.15 and 27,228.47 is: 40,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.68 : 115,707.15 = 27,228.47 : x
  2. Step 2: Convert to fraction form
    77,157.68/115,707.15 = 27,228.47/x
  3. Step 3: Cross multiply
    77,157.68x = 115,707.15 × 27,228.47
  4. Step 4: Simplify right side
    77,157.68x = 3,150,528,084.02
  5. Step 5: Solve for x
    x = 3,150,528,084.02/77,157.68
  6. Step 6: Final answer
    x = 40,832.34

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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.