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Finding the Fourth Proportional to 47,776, 71,664 and 14,944

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Solution

The fourth proportional to 47,776, 71,664 and 14,944 is: 22,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776 : 71,664 = 14,944 : x
  2. Step 2: Convert to fraction form
    47,776/71,664 = 14,944/x
  3. Step 3: Cross multiply
    47,776x = 71,664 × 14,944
  4. Step 4: Simplify right side
    47,776x = 1,070,946,816
  5. Step 5: Solve for x
    x = 1,070,946,816/47,776
  6. Step 6: Final answer
    x = 22,416

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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.