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Finding the Fourth Proportional to 61,492, 92,238 and 19,939

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Solution

The fourth proportional to 61,492, 92,238 and 19,939 is: 29,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,492 : 92,238 = 19,939 : x
  2. Step 2: Convert to fraction form
    61,492/92,238 = 19,939/x
  3. Step 3: Cross multiply
    61,492x = 92,238 × 19,939
  4. Step 4: Simplify right side
    61,492x = 1,839,133,482
  5. Step 5: Solve for x
    x = 1,839,133,482/61,492
  6. Step 6: Final answer
    x = 29,908.50

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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.