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Finding the Fourth Proportional to 153,625.71, 212,004.36 and 85,647

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Solution

The fourth proportional to 153,625.71, 212,004.36 and 85,647 is: 118,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,625.71 : 212,004.36 = 85,647 : x
  2. Step 2: Convert to fraction form
    153,625.71/212,004.36 = 85,647/x
  3. Step 3: Cross multiply
    153,625.71x = 212,004.36 × 85,647
  4. Step 4: Simplify right side
    153,625.71x = 18,157,537,420.92
  5. Step 5: Solve for x
    x = 18,157,537,420.92/153,625.71
  6. Step 6: Final answer
    x = 118,193.35

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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.