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Finding the Fourth Proportional to 145,966.42, 201,433.62 and 78,898.42

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Solution

The fourth proportional to 145,966.42, 201,433.62 and 78,898.42 is: 108,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,966.42 : 201,433.62 = 78,898.42 : x
  2. Step 2: Convert to fraction form
    145,966.42/201,433.62 = 78,898.42/x
  3. Step 3: Cross multiply
    145,966.42x = 201,433.62 × 78,898.42
  4. Step 4: Simplify right side
    145,966.42x = 15,892,794,352.88
  5. Step 5: Solve for x
    x = 15,892,794,352.88/145,966.42
  6. Step 6: Final answer
    x = 108,879.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.