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Finding the Fourth Proportional to 85,378.64, 128,053.44 and 31,332.20

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Solution

The fourth proportional to 85,378.64, 128,053.44 and 31,332.20 is: 46,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378.64 : 128,053.44 = 31,332.20 : x
  2. Step 2: Convert to fraction form
    85,378.64/128,053.44 = 31,332.20/x
  3. Step 3: Cross multiply
    85,378.64x = 128,053.44 × 31,332.20
  4. Step 4: Simplify right side
    85,378.64x = 4,012,195,992.77
  5. Step 5: Solve for x
    x = 4,012,195,992.77/85,378.64
  6. Step 6: Final answer
    x = 46,992.97

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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.