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Finding the Fourth Proportional to 77,296.64, 115,962.24 and 30,554.24

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Solution

The fourth proportional to 77,296.64, 115,962.24 and 30,554.24 is: 45,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,296.64 : 115,962.24 = 30,554.24 : x
  2. Step 2: Convert to fraction form
    77,296.64/115,962.24 = 30,554.24/x
  3. Step 3: Cross multiply
    77,296.64x = 115,962.24 × 30,554.24
  4. Step 4: Simplify right side
    77,296.64x = 3,543,138,111.90
  5. Step 5: Solve for x
    x = 3,543,138,111.90/77,296.64
  6. Step 6: Final answer
    x = 45,838.19

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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.