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Finding the Fourth Proportional to 101,569.06, 140,152.17 and 56,857.06

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Solution

The fourth proportional to 101,569.06, 140,152.17 and 56,857.06 is: 78,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,569.06 : 140,152.17 = 56,857.06 : x
  2. Step 2: Convert to fraction form
    101,569.06/140,152.17 = 56,857.06/x
  3. Step 3: Cross multiply
    101,569.06x = 140,152.17 × 56,857.06
  4. Step 4: Simplify right side
    101,569.06x = 7,968,640,338.82
  5. Step 5: Solve for x
    x = 7,968,640,338.82/101,569.06
  6. Step 6: Final answer
    x = 78,455.39

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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.