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Finding the Fourth Proportional to 181,968, 251,117.64 and 106,518.12

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Solution

The fourth proportional to 181,968, 251,117.64 and 106,518.12 is: 146,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,968 : 251,117.64 = 106,518.12 : x
  2. Step 2: Convert to fraction form
    181,968/251,117.64 = 106,518.12/x
  3. Step 3: Cross multiply
    181,968x = 251,117.64 × 106,518.12
  4. Step 4: Simplify right side
    181,968x = 26,748,578,911.64
  5. Step 5: Solve for x
    x = 26,748,578,911.64/181,968
  6. Step 6: Final answer
    x = 146,996.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.