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Finding the Fourth Proportional to 102,362.40, 141,270.52 and 57,047.76

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Solution

The fourth proportional to 102,362.40, 141,270.52 and 57,047.76 is: 78,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,362.40 : 141,270.52 = 57,047.76 : x
  2. Step 2: Convert to fraction form
    102,362.40/141,270.52 = 57,047.76/x
  3. Step 3: Cross multiply
    102,362.40x = 141,270.52 × 57,047.76
  4. Step 4: Simplify right side
    102,362.40x = 8,059,166,720.04
  5. Step 5: Solve for x
    x = 8,059,166,720.04/102,362.40
  6. Step 6: Final answer
    x = 78,731.71

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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.