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Finding the Fourth Proportional to 153,954.90, 212,456.70 and 85,967.82

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Solution

The fourth proportional to 153,954.90, 212,456.70 and 85,967.82 is: 118,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,954.90 : 212,456.70 = 85,967.82 : x
  2. Step 2: Convert to fraction form
    153,954.90/212,456.70 = 85,967.82/x
  3. Step 3: Cross multiply
    153,954.90x = 212,456.70 × 85,967.82
  4. Step 4: Simplify right side
    153,954.90x = 18,264,439,343.39
  5. Step 5: Solve for x
    x = 18,264,439,343.39/153,954.90
  6. Step 6: Final answer
    x = 118,635.00

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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.