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Finding the Fourth Proportional to 61,509.84, 92,279.25 and 19,956.84

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Solution

The fourth proportional to 61,509.84, 92,279.25 and 19,956.84 is: 29,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.84 : 92,279.25 = 19,956.84 : x
  2. Step 2: Convert to fraction form
    61,509.84/92,279.25 = 19,956.84/x
  3. Step 3: Cross multiply
    61,509.84x = 92,279.25 × 19,956.84
  4. Step 4: Simplify right side
    61,509.84x = 1,841,602,227.57
  5. Step 5: Solve for x
    x = 1,841,602,227.57/61,509.84
  6. Step 6: Final answer
    x = 29,939.96

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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.