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Finding the Fourth Proportional to 145,863.72, 218,881.68 and 61,618.42

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Solution

The fourth proportional to 145,863.72, 218,881.68 and 61,618.42 is: 92,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.72 : 218,881.68 = 61,618.42 : x
  2. Step 2: Convert to fraction form
    145,863.72/218,881.68 = 61,618.42/x
  3. Step 3: Cross multiply
    145,863.72x = 218,881.68 × 61,618.42
  4. Step 4: Simplify right side
    145,863.72x = 13,487,143,331.08
  5. Step 5: Solve for x
    x = 13,487,143,331.08/145,863.72
  6. Step 6: Final answer
    x = 92,464.00

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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.