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Finding the Fourth Proportional to 251,070, 346,392.32 and 142,159.47

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Solution

The fourth proportional to 251,070, 346,392.32 and 142,159.47 is: 196,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,070 : 346,392.32 = 142,159.47 : x
  2. Step 2: Convert to fraction form
    251,070/346,392.32 = 142,159.47/x
  3. Step 3: Cross multiply
    251,070x = 346,392.32 × 142,159.47
  4. Step 4: Simplify right side
    251,070x = 49,242,947,912.47
  5. Step 5: Solve for x
    x = 49,242,947,912.47/251,070
  6. Step 6: Final answer
    x = 196,132.35

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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.