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Finding the Fourth Proportional to 153,304.90, 211,558.65 and 85,321.86

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Solution

The fourth proportional to 153,304.90, 211,558.65 and 85,321.86 is: 117,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,304.90 : 211,558.65 = 85,321.86 : x
  2. Step 2: Convert to fraction form
    153,304.90/211,558.65 = 85,321.86/x
  3. Step 3: Cross multiply
    153,304.90x = 211,558.65 × 85,321.86
  4. Step 4: Simplify right side
    153,304.90x = 18,050,576,403.79
  5. Step 5: Solve for x
    x = 18,050,576,403.79/153,304.90
  6. Step 6: Final answer
    x = 117,742.99

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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.