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Finding the Fourth Proportional to 100,904.35, 151,064.93 and 61,538.35

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Solution

The fourth proportional to 100,904.35, 151,064.93 and 61,538.35 is: 92,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904.35 : 151,064.93 = 61,538.35 : x
  2. Step 2: Convert to fraction form
    100,904.35/151,064.93 = 61,538.35/x
  3. Step 3: Cross multiply
    100,904.35x = 151,064.93 × 61,538.35
  4. Step 4: Simplify right side
    100,904.35x = 9,296,286,227.37
  5. Step 5: Solve for x
    x = 9,296,286,227.37/100,904.35
  6. Step 6: Final answer
    x = 92,129.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.