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Finding the Fourth Proportional to 153,656, 212,045.28 and 83,000

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Solution

The fourth proportional to 153,656, 212,045.28 and 83,000 is: 114,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,656 : 212,045.28 = 83,000 : x
  2. Step 2: Convert to fraction form
    153,656/212,045.28 = 83,000/x
  3. Step 3: Cross multiply
    153,656x = 212,045.28 × 83,000
  4. Step 4: Simplify right side
    153,656x = 17,599,758,240
  5. Step 5: Solve for x
    x = 17,599,758,240/153,656
  6. Step 6: Final answer
    x = 114,540

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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.