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Finding the Fourth Proportional to 78,720, 118,080 and 20,352

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Solution

The fourth proportional to 78,720, 118,080 and 20,352 is: 30,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,720 : 118,080 = 20,352 : x
  2. Step 2: Convert to fraction form
    78,720/118,080 = 20,352/x
  3. Step 3: Cross multiply
    78,720x = 118,080 × 20,352
  4. Step 4: Simplify right side
    78,720x = 2,403,164,160
  5. Step 5: Solve for x
    x = 2,403,164,160/78,720
  6. Step 6: Final answer
    x = 30,528

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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.