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Finding the Fourth Proportional to 148,563.86, 205,005.94 and 81,495.86

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Solution

The fourth proportional to 148,563.86, 205,005.94 and 81,495.86 is: 112,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,563.86 : 205,005.94 = 81,495.86 : x
  2. Step 2: Convert to fraction form
    148,563.86/205,005.94 = 81,495.86/x
  3. Step 3: Cross multiply
    148,563.86x = 205,005.94 × 81,495.86
  4. Step 4: Simplify right side
    148,563.86x = 16,707,134,156.64
  5. Step 5: Solve for x
    x = 16,707,134,156.64/148,563.86
  6. Step 6: Final answer
    x = 112,457.60

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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.