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Finding the Fourth Proportional to 134,670, 202,005 and 51,564

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Solution

The fourth proportional to 134,670, 202,005 and 51,564 is: 77,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,670 : 202,005 = 51,564 : x
  2. Step 2: Convert to fraction form
    134,670/202,005 = 51,564/x
  3. Step 3: Cross multiply
    134,670x = 202,005 × 51,564
  4. Step 4: Simplify right side
    134,670x = 10,416,185,820
  5. Step 5: Solve for x
    x = 10,416,185,820/134,670
  6. Step 6: Final answer
    x = 77,346

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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.