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Finding the Fourth Proportional to 153,952.56, 212,452.44 and 85,970.64

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Solution

The fourth proportional to 153,952.56, 212,452.44 and 85,970.64 is: 118,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,952.56 : 212,452.44 = 85,970.64 : x
  2. Step 2: Convert to fraction form
    153,952.56/212,452.44 = 85,970.64/x
  3. Step 3: Cross multiply
    153,952.56x = 212,452.44 × 85,970.64
  4. Step 4: Simplify right side
    153,952.56x = 18,264,672,236.36
  5. Step 5: Solve for x
    x = 18,264,672,236.36/153,952.56
  6. Step 6: Final answer
    x = 118,638.31

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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.