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Finding the Fourth Proportional to 122,509.16, 183,724.86 and 39,383.72

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Solution

The fourth proportional to 122,509.16, 183,724.86 and 39,383.72 is: 59,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,509.16 : 183,724.86 = 39,383.72 : x
  2. Step 2: Convert to fraction form
    122,509.16/183,724.86 = 39,383.72/x
  3. Step 3: Cross multiply
    122,509.16x = 183,724.86 × 39,383.72
  4. Step 4: Simplify right side
    122,509.16x = 7,235,768,139.78
  5. Step 5: Solve for x
    x = 7,235,768,139.78/122,509.16
  6. Step 6: Final answer
    x = 59,063.08

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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.