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Finding the Fourth Proportional to 64,175.40, 96,248.70 and 30,878.46

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Solution

The fourth proportional to 64,175.40, 96,248.70 and 30,878.46 is: 46,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175.40 : 96,248.70 = 30,878.46 : x
  2. Step 2: Convert to fraction form
    64,175.40/96,248.70 = 30,878.46/x
  3. Step 3: Cross multiply
    64,175.40x = 96,248.70 × 30,878.46
  4. Step 4: Simplify right side
    64,175.40x = 2,972,011,633.00
  5. Step 5: Solve for x
    x = 2,972,011,633.00/64,175.40
  6. Step 6: Final answer
    x = 46,310.76

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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.