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Finding the Fourth Proportional to 146,426, 202,000.20 and 85,977.20

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Solution

The fourth proportional to 146,426, 202,000.20 and 85,977.20 is: 118,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,426 : 202,000.20 = 85,977.20 : x
  2. Step 2: Convert to fraction form
    146,426/202,000.20 = 85,977.20/x
  3. Step 3: Cross multiply
    146,426x = 202,000.20 × 85,977.20
  4. Step 4: Simplify right side
    146,426x = 17,367,411,595.44
  5. Step 5: Solve for x
    x = 17,367,411,595.44/146,426
  6. Step 6: Final answer
    x = 118,608.80

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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.