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Finding the Fourth Proportional to 101,400.16, 139,936.80 and 56,688.16

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Solution

The fourth proportional to 101,400.16, 139,936.80 and 56,688.16 is: 78,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400.16 : 139,936.80 = 56,688.16 : x
  2. Step 2: Convert to fraction form
    101,400.16/139,936.80 = 56,688.16/x
  3. Step 3: Cross multiply
    101,400.16x = 139,936.80 × 56,688.16
  4. Step 4: Simplify right side
    101,400.16x = 7,932,759,708.29
  5. Step 5: Solve for x
    x = 7,932,759,708.29/101,400.16
  6. Step 6: Final answer
    x = 78,232.22

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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.