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Finding the Fourth Proportional to 122,490, 183,735 and 39,384

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Solution

The fourth proportional to 122,490, 183,735 and 39,384 is: 59,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,490 : 183,735 = 39,384 : x
  2. Step 2: Convert to fraction form
    122,490/183,735 = 39,384/x
  3. Step 3: Cross multiply
    122,490x = 183,735 × 39,384
  4. Step 4: Simplify right side
    122,490x = 7,236,219,240
  5. Step 5: Solve for x
    x = 7,236,219,240/122,490
  6. Step 6: Final answer
    x = 59,076

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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.