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Finding the Fourth Proportional to 83,783.98, 115,627.13 and 47,973.07

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Solution

The fourth proportional to 83,783.98, 115,627.13 and 47,973.07 is: 66,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.98 : 115,627.13 = 47,973.07 : x
  2. Step 2: Convert to fraction form
    83,783.98/115,627.13 = 47,973.07/x
  3. Step 3: Cross multiply
    83,783.98x = 115,627.13 × 47,973.07
  4. Step 4: Simplify right side
    83,783.98x = 5,546,988,401.39
  5. Step 5: Solve for x
    x = 5,546,988,401.39/83,783.98
  6. Step 6: Final answer
    x = 66,205.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.