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Finding the Fourth Proportional to 78,752, 118,128 and 20,384

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Solution

The fourth proportional to 78,752, 118,128 and 20,384 is: 30,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,752 : 118,128 = 20,384 : x
  2. Step 2: Convert to fraction form
    78,752/118,128 = 20,384/x
  3. Step 3: Cross multiply
    78,752x = 118,128 × 20,384
  4. Step 4: Simplify right side
    78,752x = 2,407,921,152
  5. Step 5: Solve for x
    x = 2,407,921,152/78,752
  6. Step 6: Final answer
    x = 30,576

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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.