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Finding the Fourth Proportional to 97,099.70, 133,978.40 and 61,338.74

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Solution

The fourth proportional to 97,099.70, 133,978.40 and 61,338.74 is: 84,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.70 : 133,978.40 = 61,338.74 : x
  2. Step 2: Convert to fraction form
    97,099.70/133,978.40 = 61,338.74/x
  3. Step 3: Cross multiply
    97,099.70x = 133,978.40 × 61,338.74
  4. Step 4: Simplify right side
    97,099.70x = 8,218,066,243.22
  5. Step 5: Solve for x
    x = 8,218,066,243.22/97,099.70
  6. Step 6: Final answer
    x = 84,635.34

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1.5x scale

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.