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Finding the Fourth Proportional to 102,038.88, 140,816.85 and 61,760.01

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Solution

The fourth proportional to 102,038.88, 140,816.85 and 61,760.01 is: 85,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038.88 : 140,816.85 = 61,760.01 : x
  2. Step 2: Convert to fraction form
    102,038.88/140,816.85 = 61,760.01/x
  3. Step 3: Cross multiply
    102,038.88x = 140,816.85 × 61,760.01
  4. Step 4: Simplify right side
    102,038.88x = 8,696,850,064.17
  5. Step 5: Solve for x
    x = 8,696,850,064.17/102,038.88
  6. Step 6: Final answer
    x = 85,230.75

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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.