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Finding the Fourth Proportional to 77,889.72, 107,453.34 and 61,171.32

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Solution

The fourth proportional to 77,889.72, 107,453.34 and 61,171.32 is: 84,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,889.72 : 107,453.34 = 61,171.32 : x
  2. Step 2: Convert to fraction form
    77,889.72/107,453.34 = 61,171.32/x
  3. Step 3: Cross multiply
    77,889.72x = 107,453.34 × 61,171.32
  4. Step 4: Simplify right side
    77,889.72x = 6,573,062,646.21
  5. Step 5: Solve for x
    x = 6,573,062,646.21/77,889.72
  6. Step 6: Final answer
    x = 84,389.35

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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.