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Finding the Fourth Proportional to 140,355.66, 193,695.59 and 76,697.55

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Solution

The fourth proportional to 140,355.66, 193,695.59 and 76,697.55 is: 105,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,355.66 : 193,695.59 = 76,697.55 : x
  2. Step 2: Convert to fraction form
    140,355.66/193,695.59 = 76,697.55/x
  3. Step 3: Cross multiply
    140,355.66x = 193,695.59 × 76,697.55
  4. Step 4: Simplify right side
    140,355.66x = 14,855,977,829.29
  5. Step 5: Solve for x
    x = 14,855,977,829.29/140,355.66
  6. Step 6: Final answer
    x = 105,845.24

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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.