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Finding the Fourth Proportional to 153,771, 212,203.98 and 83,115

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Solution

The fourth proportional to 153,771, 212,203.98 and 83,115 is: 114,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771 : 212,203.98 = 83,115 : x
  2. Step 2: Convert to fraction form
    153,771/212,203.98 = 83,115/x
  3. Step 3: Cross multiply
    153,771x = 212,203.98 × 83,115
  4. Step 4: Simplify right side
    153,771x = 17,637,333,797.70
  5. Step 5: Solve for x
    x = 17,637,333,797.70/153,771
  6. Step 6: Final answer
    x = 114,698.70

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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.