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Finding the Fourth Proportional to 153,289.32, 211,537.32 and 85,304.60

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Solution

The fourth proportional to 153,289.32, 211,537.32 and 85,304.60 is: 117,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,289.32 : 211,537.32 = 85,304.60 : x
  2. Step 2: Convert to fraction form
    153,289.32/211,537.32 = 85,304.60/x
  3. Step 3: Cross multiply
    153,289.32x = 211,537.32 × 85,304.60
  4. Step 4: Simplify right side
    153,289.32x = 18,045,106,467.67
  5. Step 5: Solve for x
    x = 18,045,106,467.67/153,289.32
  6. Step 6: Final answer
    x = 117,719.27

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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.