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Finding the Fourth Proportional to 153,914.88, 212,405.84 and 85,004.16

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Solution

The fourth proportional to 153,914.88, 212,405.84 and 85,004.16 is: 117,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,914.88 : 212,405.84 = 85,004.16 : x
  2. Step 2: Convert to fraction form
    153,914.88/212,405.84 = 85,004.16/x
  3. Step 3: Cross multiply
    153,914.88x = 212,405.84 × 85,004.16
  4. Step 4: Simplify right side
    153,914.88x = 18,055,380,008.29
  5. Step 5: Solve for x
    x = 18,055,380,008.29/153,914.88
  6. Step 6: Final answer
    x = 117,307.57

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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.