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Finding the Fourth Proportional to 77,609.61, 116,395.99 and 21,448.53

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Solution

The fourth proportional to 77,609.61, 116,395.99 and 21,448.53 is: 32,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,609.61 : 116,395.99 = 21,448.53 : x
  2. Step 2: Convert to fraction form
    77,609.61/116,395.99 = 21,448.53/x
  3. Step 3: Cross multiply
    77,609.61x = 116,395.99 × 21,448.53
  4. Step 4: Simplify right side
    77,609.61x = 2,496,522,829.77
  5. Step 5: Solve for x
    x = 2,496,522,829.77/77,609.61
  6. Step 6: Final answer
    x = 32,167.70

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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.