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Finding the Fourth Proportional to 101,438.84, 139,992.46 and 56,727.16

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Solution

The fourth proportional to 101,438.84, 139,992.46 and 56,727.16 is: 78,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.84 : 139,992.46 = 56,727.16 : x
  2. Step 2: Convert to fraction form
    101,438.84/139,992.46 = 56,727.16/x
  3. Step 3: Cross multiply
    101,438.84x = 139,992.46 × 56,727.16
  4. Step 4: Simplify right side
    101,438.84x = 7,941,374,677.21
  5. Step 5: Solve for x
    x = 7,941,374,677.21/101,438.84
  6. Step 6: Final answer
    x = 78,287.32

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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.