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Finding the Fourth Proportional to 251,148.94, 346,585.67 and 137,978.98

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Solution

The fourth proportional to 251,148.94, 346,585.67 and 137,978.98 is: 190,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,148.94 : 346,585.67 = 137,978.98 : x
  2. Step 2: Convert to fraction form
    251,148.94/346,585.67 = 137,978.98/x
  3. Step 3: Cross multiply
    251,148.94x = 346,585.67 × 137,978.98
  4. Step 4: Simplify right side
    251,148.94x = 47,821,536,190.28
  5. Step 5: Solve for x
    x = 47,821,536,190.28/251,148.94
  6. Step 6: Final answer
    x = 190,411.06

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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.