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Finding the Fourth Proportional to 250,814.78, 346,128.63 and 137,648.06

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Solution

The fourth proportional to 250,814.78, 346,128.63 and 137,648.06 is: 189,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,814.78 : 346,128.63 = 137,648.06 : x
  2. Step 2: Convert to fraction form
    250,814.78/346,128.63 = 137,648.06/x
  3. Step 3: Cross multiply
    250,814.78x = 346,128.63 × 137,648.06
  4. Step 4: Simplify right side
    250,814.78x = 47,643,934,429.96
  5. Step 5: Solve for x
    x = 47,643,934,429.96/250,814.78
  6. Step 6: Final answer
    x = 189,956.65

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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.