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Finding the Fourth Proportional to 251,281.36, 346,769.40 and 138,111.40

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Solution

The fourth proportional to 251,281.36, 346,769.40 and 138,111.40 is: 190,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,281.36 : 346,769.40 = 138,111.40 : x
  2. Step 2: Convert to fraction form
    251,281.36/346,769.40 = 138,111.40/x
  3. Step 3: Cross multiply
    251,281.36x = 346,769.40 × 138,111.40
  4. Step 4: Simplify right side
    251,281.36x = 47,892,807,311.16
  5. Step 5: Solve for x
    x = 47,892,807,311.16/251,281.36
  6. Step 6: Final answer
    x = 190,594.35

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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.