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Finding the Fourth Proportional to 70,998.50, 97,978.74 and 49,519.74

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Solution

The fourth proportional to 70,998.50, 97,978.74 and 49,519.74 is: 68,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,998.50 : 97,978.74 = 49,519.74 : x
  2. Step 2: Convert to fraction form
    70,998.50/97,978.74 = 49,519.74/x
  3. Step 3: Cross multiply
    70,998.50x = 97,978.74 × 49,519.74
  4. Step 4: Simplify right side
    70,998.50x = 4,851,881,730.33
  5. Step 5: Solve for x
    x = 4,851,881,730.33/70,998.50
  6. Step 6: Final answer
    x = 68,337.81

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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.