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Finding the Fourth Proportional to 255,871.55, 383,643.10 and 106,215.14

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Solution

The fourth proportional to 255,871.55, 383,643.10 and 106,215.14 is: 159,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871.55 : 383,643.10 = 106,215.14 : x
  2. Step 2: Convert to fraction form
    255,871.55/383,643.10 = 106,215.14/x
  3. Step 3: Cross multiply
    255,871.55x = 383,643.10 × 106,215.14
  4. Step 4: Simplify right side
    255,871.55x = 40,748,706,270.10
  5. Step 5: Solve for x
    x = 40,748,706,270.10/255,871.55
  6. Step 6: Final answer
    x = 159,254.54

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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.