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Finding the Fourth Proportional to 84,210.46, 116,206.36 and 47,908.49

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Solution

The fourth proportional to 84,210.46, 116,206.36 and 47,908.49 is: 66,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.46 : 116,206.36 = 47,908.49 : x
  2. Step 2: Convert to fraction form
    84,210.46/116,206.36 = 47,908.49/x
  3. Step 3: Cross multiply
    84,210.46x = 116,206.36 × 47,908.49
  4. Step 4: Simplify right side
    84,210.46x = 5,567,270,851.20
  5. Step 5: Solve for x
    x = 5,567,270,851.20/84,210.46
  6. Step 6: Final answer
    x = 66,111.39

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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.