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Finding the Fourth Proportional to 114,158.71, 157,427.85 and 102,945.30

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Solution

The fourth proportional to 114,158.71, 157,427.85 and 102,945.30 is: 141,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,158.71 : 157,427.85 = 102,945.30 : x
  2. Step 2: Convert to fraction form
    114,158.71/157,427.85 = 102,945.30/x
  3. Step 3: Cross multiply
    114,158.71x = 157,427.85 × 102,945.30
  4. Step 4: Simplify right side
    114,158.71x = 16,206,457,246.61
  5. Step 5: Solve for x
    x = 16,206,457,246.61/114,158.71
  6. Step 6: Final answer
    x = 141,964.26

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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.