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Finding the Fourth Proportional to 101,657.53, 140,297.16 and 56,345.32

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Solution

The fourth proportional to 101,657.53, 140,297.16 and 56,345.32 is: 77,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,657.53 : 140,297.16 = 56,345.32 : x
  2. Step 2: Convert to fraction form
    101,657.53/140,297.16 = 56,345.32/x
  3. Step 3: Cross multiply
    101,657.53x = 140,297.16 × 56,345.32
  4. Step 4: Simplify right side
    101,657.53x = 7,905,088,375.29
  5. Step 5: Solve for x
    x = 7,905,088,375.29/101,657.53
  6. Step 6: Final answer
    x = 77,761.96

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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.