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Finding the Fourth Proportional to 153,584.14, 211,963.32 and 85,607.32

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Solution

The fourth proportional to 153,584.14, 211,963.32 and 85,607.32 is: 118,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,584.14 : 211,963.32 = 85,607.32 : x
  2. Step 2: Convert to fraction form
    153,584.14/211,963.32 = 85,607.32/x
  3. Step 3: Cross multiply
    153,584.14x = 211,963.32 × 85,607.32
  4. Step 4: Simplify right side
    153,584.14x = 18,145,611,763.50
  5. Step 5: Solve for x
    x = 18,145,611,763.50/153,584.14
  6. Step 6: Final answer
    x = 118,147.69

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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.