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Finding the Fourth Proportional to 101,438.91, 152,172.23 and 42,260.76

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Solution

The fourth proportional to 101,438.91, 152,172.23 and 42,260.76 is: 63,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.91 : 152,172.23 = 42,260.76 : x
  2. Step 2: Convert to fraction form
    101,438.91/152,172.23 = 42,260.76/x
  3. Step 3: Cross multiply
    101,438.91x = 152,172.23 × 42,260.76
  4. Step 4: Simplify right side
    101,438.91x = 6,430,913,879.39
  5. Step 5: Solve for x
    x = 6,430,913,879.39/101,438.91
  6. Step 6: Final answer
    x = 63,396.91

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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.