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Finding the Fourth Proportional to 77,739.65, 116,617.81 and 21,580.00

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Solution

The fourth proportional to 77,739.65, 116,617.81 and 21,580.00 is: 32,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,739.65 : 116,617.81 = 21,580.00 : x
  2. Step 2: Convert to fraction form
    77,739.65/116,617.81 = 21,580.00/x
  3. Step 3: Cross multiply
    77,739.65x = 116,617.81 × 21,580.00
  4. Step 4: Simplify right side
    77,739.65x = 2,516,611,648.81
  5. Step 5: Solve for x
    x = 2,516,611,648.81/77,739.65
  6. Step 6: Final answer
    x = 32,372.30

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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.