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Finding the Fourth Proportional to 77,150.68, 115,655.94 and 30,431.32

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Solution

The fourth proportional to 77,150.68, 115,655.94 and 30,431.32 is: 45,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,150.68 : 115,655.94 = 30,431.32 : x
  2. Step 2: Convert to fraction form
    77,150.68/115,655.94 = 30,431.32/x
  3. Step 3: Cross multiply
    77,150.68x = 115,655.94 × 30,431.32
  4. Step 4: Simplify right side
    77,150.68x = 3,519,562,920.04
  5. Step 5: Solve for x
    x = 3,519,562,920.04/77,150.68
  6. Step 6: Final answer
    x = 45,619.34

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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.