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Finding the Fourth Proportional to 255,881, 353,115.78 and 142,703.76

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Solution

The fourth proportional to 255,881, 353,115.78 and 142,703.76 is: 196,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,881 : 353,115.78 = 142,703.76 : x
  2. Step 2: Convert to fraction form
    255,881/353,115.78 = 142,703.76/x
  3. Step 3: Cross multiply
    255,881x = 353,115.78 × 142,703.76
  4. Step 4: Simplify right side
    255,881x = 50,390,949,521.33
  5. Step 5: Solve for x
    x = 50,390,949,521.33/255,881
  6. Step 6: Final answer
    x = 196,931.19

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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.