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Finding the Fourth Proportional to 77,987.56, 107,633.46 and 47,774.56

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Solution

The fourth proportional to 77,987.56, 107,633.46 and 47,774.56 is: 65,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,987.56 : 107,633.46 = 47,774.56 : x
  2. Step 2: Convert to fraction form
    77,987.56/107,633.46 = 47,774.56/x
  3. Step 3: Cross multiply
    77,987.56x = 107,633.46 × 47,774.56
  4. Step 4: Simplify right side
    77,987.56x = 5,142,141,192.78
  5. Step 5: Solve for x
    x = 5,142,141,192.78/77,987.56
  6. Step 6: Final answer
    x = 65,935.40

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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.