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Finding the Fourth Proportional to 251,228.16, 346,696.80 and 138,052.80

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Solution

The fourth proportional to 251,228.16, 346,696.80 and 138,052.80 is: 190,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,228.16 : 346,696.80 = 138,052.80 : x
  2. Step 2: Convert to fraction form
    251,228.16/346,696.80 = 138,052.80/x
  3. Step 3: Cross multiply
    251,228.16x = 346,696.80 × 138,052.80
  4. Step 4: Simplify right side
    251,228.16x = 47,862,463,991.04
  5. Step 5: Solve for x
    x = 47,862,463,991.04/251,228.16
  6. Step 6: Final answer
    x = 190,513.93

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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.