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Finding the Fourth Proportional to 251,214.84, 346,674 and 138,035.16

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Solution

The fourth proportional to 251,214.84, 346,674 and 138,035.16 is: 190,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,214.84 : 346,674 = 138,035.16 : x
  2. Step 2: Convert to fraction form
    251,214.84/346,674 = 138,035.16/x
  3. Step 3: Cross multiply
    251,214.84x = 346,674 × 138,035.16
  4. Step 4: Simplify right side
    251,214.84x = 47,853,201,057.84
  5. Step 5: Solve for x
    x = 47,853,201,057.84/251,214.84
  6. Step 6: Final answer
    x = 190,487.16

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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.