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Finding the Fourth Proportional to 255,703.68, 383,088.96 and 142,796.16

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Solution

The fourth proportional to 255,703.68, 383,088.96 and 142,796.16 is: 213,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,703.68 : 383,088.96 = 142,796.16 : x
  2. Step 2: Convert to fraction form
    255,703.68/383,088.96 = 142,796.16/x
  3. Step 3: Cross multiply
    255,703.68x = 383,088.96 × 142,796.16
  4. Step 4: Simplify right side
    255,703.68x = 54,703,632,426.39
  5. Step 5: Solve for x
    x = 54,703,632,426.39/255,703.68
  6. Step 6: Final answer
    x = 213,933.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.