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Finding the Fourth Proportional to 283,530.12, 425,217.42 and 105,978.12

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Solution

The fourth proportional to 283,530.12, 425,217.42 and 105,978.12 is: 158,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,530.12 : 425,217.42 = 105,978.12 : x
  2. Step 2: Convert to fraction form
    283,530.12/425,217.42 = 105,978.12/x
  3. Step 3: Cross multiply
    283,530.12x = 425,217.42 × 105,978.12
  4. Step 4: Simplify right side
    283,530.12x = 45,063,742,762.85
  5. Step 5: Solve for x
    x = 45,063,742,762.85/283,530.12
  6. Step 6: Final answer
    x = 158,938.11

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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.