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Finding the Fourth Proportional to 101,688.16, 140,324.04 and 56,365.64

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Solution

The fourth proportional to 101,688.16, 140,324.04 and 56,365.64 is: 77,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,688.16 : 140,324.04 = 56,365.64 : x
  2. Step 2: Convert to fraction form
    101,688.16/140,324.04 = 56,365.64/x
  3. Step 3: Cross multiply
    101,688.16x = 140,324.04 × 56,365.64
  4. Step 4: Simplify right side
    101,688.16x = 7,909,454,321.99
  5. Step 5: Solve for x
    x = 7,909,454,321.99/101,688.16
  6. Step 6: Final answer
    x = 77,781.47

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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.