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Finding the Fourth Proportional to 255,078.16, 382,444.08 and 142,835.56

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Solution

The fourth proportional to 255,078.16, 382,444.08 and 142,835.56 is: 214,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,078.16 : 382,444.08 = 142,835.56 : x
  2. Step 2: Convert to fraction form
    255,078.16/382,444.08 = 142,835.56/x
  3. Step 3: Cross multiply
    255,078.16x = 382,444.08 × 142,835.56
  4. Step 4: Simplify right side
    255,078.16x = 54,626,614,335.48
  5. Step 5: Solve for x
    x = 54,626,614,335.48/255,078.16
  6. Step 6: Final answer
    x = 214,156.38

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1.5x scale

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.