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Finding the Fourth Proportional to 85,980.32, 128,382 and 77,037.92

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Solution

The fourth proportional to 85,980.32, 128,382 and 77,037.92 is: 115,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,980.32 : 128,382 = 77,037.92 : x
  2. Step 2: Convert to fraction form
    85,980.32/128,382 = 77,037.92/x
  3. Step 3: Cross multiply
    85,980.32x = 128,382 × 77,037.92
  4. Step 4: Simplify right side
    85,980.32x = 9,890,282,245.44
  5. Step 5: Solve for x
    x = 9,890,282,245.44/85,980.32
  6. Step 6: Final answer
    x = 115,029.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.