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Finding the Fourth Proportional to 102,438.48, 141,354.76 and 57,112.20

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Solution

The fourth proportional to 102,438.48, 141,354.76 and 57,112.20 is: 78,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438.48 : 141,354.76 = 57,112.20 : x
  2. Step 2: Convert to fraction form
    102,438.48/141,354.76 = 57,112.20/x
  3. Step 3: Cross multiply
    102,438.48x = 141,354.76 × 57,112.20
  4. Step 4: Simplify right side
    102,438.48x = 8,073,081,324.07
  5. Step 5: Solve for x
    x = 8,073,081,324.07/102,438.48
  6. Step 6: Final answer
    x = 78,809.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.