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Finding the Fourth Proportional to 153,696, 212,100.48 and 83,040

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Solution

The fourth proportional to 153,696, 212,100.48 and 83,040 is: 114,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,696 : 212,100.48 = 83,040 : x
  2. Step 2: Convert to fraction form
    153,696/212,100.48 = 83,040/x
  3. Step 3: Cross multiply
    153,696x = 212,100.48 × 83,040
  4. Step 4: Simplify right side
    153,696x = 17,612,823,859.20
  5. Step 5: Solve for x
    x = 17,612,823,859.20/153,696
  6. Step 6: Final answer
    x = 114,595.20

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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.