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Finding the Fourth Proportional to 102,047.40, 140,838 and 61,775.28

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Solution

The fourth proportional to 102,047.40, 140,838 and 61,775.28 is: 85,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,047.40 : 140,838 = 61,775.28 : x
  2. Step 2: Convert to fraction form
    102,047.40/140,838 = 61,775.28/x
  3. Step 3: Cross multiply
    102,047.40x = 140,838 × 61,775.28
  4. Step 4: Simplify right side
    102,047.40x = 8,700,306,884.64
  5. Step 5: Solve for x
    x = 8,700,306,884.64/102,047.40
  6. Step 6: Final answer
    x = 85,257.51

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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.