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Finding the Fourth Proportional to 219,431.61, 329,159.70 and 61,647.75

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Solution

The fourth proportional to 219,431.61, 329,159.70 and 61,647.75 is: 92,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,431.61 : 329,159.70 = 61,647.75 : x
  2. Step 2: Convert to fraction form
    219,431.61/329,159.70 = 61,647.75/x
  3. Step 3: Cross multiply
    219,431.61x = 329,159.70 × 61,647.75
  4. Step 4: Simplify right side
    219,431.61x = 20,291,954,895.68
  5. Step 5: Solve for x
    x = 20,291,954,895.68/219,431.61
  6. Step 6: Final answer
    x = 92,475.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.