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Finding the Fourth Proportional to 67,776, 101,664 and 18,528

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Solution

The fourth proportional to 67,776, 101,664 and 18,528 is: 27,792

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,776 : 101,664 = 18,528 : x
  2. Step 2: Convert to fraction form
    67,776/101,664 = 18,528/x
  3. Step 3: Cross multiply
    67,776x = 101,664 × 18,528
  4. Step 4: Simplify right side
    67,776x = 1,883,630,592
  5. Step 5: Solve for x
    x = 1,883,630,592/67,776
  6. Step 6: Final answer
    x = 27,792

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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.