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Finding the Fourth Proportional to 131,457.80, 197,267.70 and 52,563.80

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Solution

The fourth proportional to 131,457.80, 197,267.70 and 52,563.80 is: 78,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,457.80 : 197,267.70 = 52,563.80 : x
  2. Step 2: Convert to fraction form
    131,457.80/197,267.70 = 52,563.80/x
  3. Step 3: Cross multiply
    131,457.80x = 197,267.70 × 52,563.80
  4. Step 4: Simplify right side
    131,457.80x = 10,369,139,929.26
  5. Step 5: Solve for x
    x = 10,369,139,929.26/131,457.80
  6. Step 6: Final answer
    x = 78,878.09

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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.