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Finding the Fourth Proportional to 61,224.84, 91,802.76 and 21,225.06

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Solution

The fourth proportional to 61,224.84, 91,802.76 and 21,225.06 is: 31,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224.84 : 91,802.76 = 21,225.06 : x
  2. Step 2: Convert to fraction form
    61,224.84/91,802.76 = 21,225.06/x
  3. Step 3: Cross multiply
    61,224.84x = 91,802.76 × 21,225.06
  4. Step 4: Simplify right side
    61,224.84x = 1,948,519,089.17
  5. Step 5: Solve for x
    x = 1,948,519,089.17/61,224.84
  6. Step 6: Final answer
    x = 31,825.63

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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.