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Finding the Fourth Proportional to 153,361.32, 211,616.85 and 85,368.86

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Solution

The fourth proportional to 153,361.32, 211,616.85 and 85,368.86 is: 117,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,361.32 : 211,616.85 = 85,368.86 : x
  2. Step 2: Convert to fraction form
    153,361.32/211,616.85 = 85,368.86/x
  3. Step 3: Cross multiply
    153,361.32x = 211,616.85 × 85,368.86
  4. Step 4: Simplify right side
    153,361.32x = 18,065,489,892.08
  5. Step 5: Solve for x
    x = 18,065,489,892.08/153,361.32
  6. Step 6: Final answer
    x = 117,796.91

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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.