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Finding the Fourth Proportional to 114,910.40, 172,365.60 and 83,806.40

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Solution

The fourth proportional to 114,910.40, 172,365.60 and 83,806.40 is: 125,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,910.40 : 172,365.60 = 83,806.40 : x
  2. Step 2: Convert to fraction form
    114,910.40/172,365.60 = 83,806.40/x
  3. Step 3: Cross multiply
    114,910.40x = 172,365.60 × 83,806.40
  4. Step 4: Simplify right side
    114,910.40x = 14,445,340,419.84
  5. Step 5: Solve for x
    x = 14,445,340,419.84/114,910.40
  6. Step 6: Final answer
    x = 125,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.