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Finding the Fourth Proportional to 153,664.63, 212,056.32 and 85,682.42

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Solution

The fourth proportional to 153,664.63, 212,056.32 and 85,682.42 is: 118,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,664.63 : 212,056.32 = 85,682.42 : x
  2. Step 2: Convert to fraction form
    153,664.63/212,056.32 = 85,682.42/x
  3. Step 3: Cross multiply
    153,664.63x = 212,056.32 × 85,682.42
  4. Step 4: Simplify right side
    153,664.63x = 18,169,498,143.75
  5. Step 5: Solve for x
    x = 18,169,498,143.75/153,664.63
  6. Step 6: Final answer
    x = 118,241.25

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1.5x scale

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.