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Finding the Fourth Proportional to 114,431.40, 157,978.17 and 78,187.32

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Solution

The fourth proportional to 114,431.40, 157,978.17 and 78,187.32 is: 107,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,431.40 : 157,978.17 = 78,187.32 : x
  2. Step 2: Convert to fraction form
    114,431.40/157,978.17 = 78,187.32/x
  3. Step 3: Cross multiply
    114,431.40x = 157,978.17 × 78,187.32
  4. Step 4: Simplify right side
    114,431.40x = 12,351,889,730.80
  5. Step 5: Solve for x
    x = 12,351,889,730.80/114,431.40
  6. Step 6: Final answer
    x = 107,941.44

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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.