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Finding the Fourth Proportional to 114,426.60, 157,914.12 and 71,431.56

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Solution

The fourth proportional to 114,426.60, 157,914.12 and 71,431.56 is: 98,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426.60 : 157,914.12 = 71,431.56 : x
  2. Step 2: Convert to fraction form
    114,426.60/157,914.12 = 71,431.56/x
  3. Step 3: Cross multiply
    114,426.60x = 157,914.12 × 71,431.56
  4. Step 4: Simplify right side
    114,426.60x = 11,280,051,937.63
  5. Step 5: Solve for x
    x = 11,280,051,937.63/114,426.60
  6. Step 6: Final answer
    x = 98,578.93

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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.