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Finding the Fourth Proportional to 152,984.50, 211,113.84 and 84,073.80

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Solution

The fourth proportional to 152,984.50, 211,113.84 and 84,073.80 is: 116,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,984.50 : 211,113.84 = 84,073.80 : x
  2. Step 2: Convert to fraction form
    152,984.50/211,113.84 = 84,073.80/x
  3. Step 3: Cross multiply
    152,984.50x = 211,113.84 × 84,073.80
  4. Step 4: Simplify right side
    152,984.50x = 17,749,142,761.39
  5. Step 5: Solve for x
    x = 17,749,142,761.39/152,984.50
  6. Step 6: Final answer
    x = 116,019.22

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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.