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Finding the Fourth Proportional to 78,049.76, 117,070.52 and 21,893.74

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Solution

The fourth proportional to 78,049.76, 117,070.52 and 21,893.74 is: 32,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.76 : 117,070.52 = 21,893.74 : x
  2. Step 2: Convert to fraction form
    78,049.76/117,070.52 = 21,893.74/x
  3. Step 3: Cross multiply
    78,049.76x = 117,070.52 × 21,893.74
  4. Step 4: Simplify right side
    78,049.76x = 2,563,111,526.54
  5. Step 5: Solve for x
    x = 2,563,111,526.54/78,049.76
  6. Step 6: Final answer
    x = 32,839.45

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1.5x scale

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.