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Finding the Fourth Proportional to 49,492, 74,242.32 and 12,556

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Solution

The fourth proportional to 49,492, 74,242.32 and 12,556 is: 18,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492 : 74,242.32 = 12,556 : x
  2. Step 2: Convert to fraction form
    49,492/74,242.32 = 12,556/x
  3. Step 3: Cross multiply
    49,492x = 74,242.32 × 12,556
  4. Step 4: Simplify right side
    49,492x = 932,186,569.92
  5. Step 5: Solve for x
    x = 932,186,569.92/49,492
  6. Step 6: Final answer
    x = 18,835.10

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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.