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Finding the Fourth Proportional to 257,078.04, 385,612.92 and 70,089.54

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Solution

The fourth proportional to 257,078.04, 385,612.92 and 70,089.54 is: 105,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,078.04 : 385,612.92 = 70,089.54 : x
  2. Step 2: Convert to fraction form
    257,078.04/385,612.92 = 70,089.54/x
  3. Step 3: Cross multiply
    257,078.04x = 385,612.92 × 70,089.54
  4. Step 4: Simplify right side
    257,078.04x = 27,027,432,180.86
  5. Step 5: Solve for x
    x = 27,027,432,180.86/257,078.04
  6. Step 6: Final answer
    x = 105,133.18

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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.