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Finding the Fourth Proportional to 251,071, 346,393.69 and 142,160.47

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Solution

The fourth proportional to 251,071, 346,393.69 and 142,160.47 is: 196,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,071 : 346,393.69 = 142,160.47 : x
  2. Step 2: Convert to fraction form
    251,071/346,393.69 = 142,160.47/x
  3. Step 3: Cross multiply
    251,071x = 346,393.69 × 142,160.47
  4. Step 4: Simplify right side
    251,071x = 49,243,489,775.43
  5. Step 5: Solve for x
    x = 49,243,489,775.43/251,071
  6. Step 6: Final answer
    x = 196,133.72

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1.5x scale

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.