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Finding the Fourth Proportional to 153,630, 212,009.40 and 82,974

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Solution

The fourth proportional to 153,630, 212,009.40 and 82,974 is: 114,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,630 : 212,009.40 = 82,974 : x
  2. Step 2: Convert to fraction form
    153,630/212,009.40 = 82,974/x
  3. Step 3: Cross multiply
    153,630x = 212,009.40 × 82,974
  4. Step 4: Simplify right side
    153,630x = 17,591,267,955.60
  5. Step 5: Solve for x
    x = 17,591,267,955.60/153,630
  6. Step 6: Final answer
    x = 114,504.12

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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.