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Finding the Fourth Proportional to 256,170.51, 353,590.38 and 148,788.81

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Solution

The fourth proportional to 256,170.51, 353,590.38 and 148,788.81 is: 205,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,170.51 : 353,590.38 = 148,788.81 : x
  2. Step 2: Convert to fraction form
    256,170.51/353,590.38 = 148,788.81/x
  3. Step 3: Cross multiply
    256,170.51x = 353,590.38 × 148,788.81
  4. Step 4: Simplify right side
    256,170.51x = 52,610,291,867.65
  5. Step 5: Solve for x
    x = 52,610,291,867.65/256,170.51
  6. Step 6: Final answer
    x = 205,372.16

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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.