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Finding the Fourth Proportional to 50,981.40, 76,472.10 and 13,541.40

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Solution

The fourth proportional to 50,981.40, 76,472.10 and 13,541.40 is: 20,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,981.40 : 76,472.10 = 13,541.40 : x
  2. Step 2: Convert to fraction form
    50,981.40/76,472.10 = 13,541.40/x
  3. Step 3: Cross multiply
    50,981.40x = 76,472.10 × 13,541.40
  4. Step 4: Simplify right side
    50,981.40x = 1,035,539,294.94
  5. Step 5: Solve for x
    x = 1,035,539,294.94/50,981.40
  6. Step 6: Final answer
    x = 20,312.10

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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.