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Finding the Fourth Proportional to 114,951.40, 172,427.10 and 83,847.40

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Solution

The fourth proportional to 114,951.40, 172,427.10 and 83,847.40 is: 125,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,951.40 : 172,427.10 = 83,847.40 : x
  2. Step 2: Convert to fraction form
    114,951.40/172,427.10 = 83,847.40/x
  3. Step 3: Cross multiply
    114,951.40x = 172,427.10 × 83,847.40
  4. Step 4: Simplify right side
    114,951.40x = 14,457,564,024.54
  5. Step 5: Solve for x
    x = 14,457,564,024.54/114,951.40
  6. Step 6: Final answer
    x = 125,771.10

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