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Finding the Fourth Proportional to 101,636.31, 140,256.24 and 56,314.13

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Solution

The fourth proportional to 101,636.31, 140,256.24 and 56,314.13 is: 77,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,636.31 : 140,256.24 = 56,314.13 : x
  2. Step 2: Convert to fraction form
    101,636.31/140,256.24 = 56,314.13/x
  3. Step 3: Cross multiply
    101,636.31x = 140,256.24 × 56,314.13
  4. Step 4: Simplify right side
    101,636.31x = 7,898,407,431.39
  5. Step 5: Solve for x
    x = 7,898,407,431.39/101,636.31
  6. Step 6: Final answer
    x = 77,712.46

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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.