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Finding the Fourth Proportional to 461,980, 692,970 and 111,772

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Solution

The fourth proportional to 461,980, 692,970 and 111,772 is: 167,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,980 : 692,970 = 111,772 : x
  2. Step 2: Convert to fraction form
    461,980/692,970 = 111,772/x
  3. Step 3: Cross multiply
    461,980x = 692,970 × 111,772
  4. Step 4: Simplify right side
    461,980x = 77,454,642,840
  5. Step 5: Solve for x
    x = 77,454,642,840/461,980
  6. Step 6: Final answer
    x = 167,658

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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.