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Finding the Fourth Proportional to 122,240, 183,390.72 and 34,688

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Solution

The fourth proportional to 122,240, 183,390.72 and 34,688 is: 52,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,240 : 183,390.72 = 34,688 : x
  2. Step 2: Convert to fraction form
    122,240/183,390.72 = 34,688/x
  3. Step 3: Cross multiply
    122,240x = 183,390.72 × 34,688
  4. Step 4: Simplify right side
    122,240x = 6,361,457,295.36
  5. Step 5: Solve for x
    x = 6,361,457,295.36/122,240
  6. Step 6: Final answer
    x = 52,040.72

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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.