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Finding the Fourth Proportional to 101,656.53, 140,295.78 and 56,344.32

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Solution

The fourth proportional to 101,656.53, 140,295.78 and 56,344.32 is: 77,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,656.53 : 140,295.78 = 56,344.32 : x
  2. Step 2: Convert to fraction form
    101,656.53/140,295.78 = 56,344.32/x
  3. Step 3: Cross multiply
    101,656.53x = 140,295.78 × 56,344.32
  4. Step 4: Simplify right side
    101,656.53x = 7,904,870,322.97
  5. Step 5: Solve for x
    x = 7,904,870,322.97/101,656.53
  6. Step 6: Final answer
    x = 77,760.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.