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Finding the Fourth Proportional to 101,512.36, 152,208.78 and 47,417.32

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Solution

The fourth proportional to 101,512.36, 152,208.78 and 47,417.32 is: 71,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,512.36 : 152,208.78 = 47,417.32 : x
  2. Step 2: Convert to fraction form
    101,512.36/152,208.78 = 47,417.32/x
  3. Step 3: Cross multiply
    101,512.36x = 152,208.78 × 47,417.32
  4. Step 4: Simplify right side
    101,512.36x = 7,217,332,428.07
  5. Step 5: Solve for x
    x = 7,217,332,428.07/101,512.36
  6. Step 6: Final answer
    x = 71,098.07

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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.