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Finding the Fourth Proportional to 131,004, 180,814.68 and 83,248.02

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Solution

The fourth proportional to 131,004, 180,814.68 and 83,248.02 is: 114,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,004 : 180,814.68 = 83,248.02 : x
  2. Step 2: Convert to fraction form
    131,004/180,814.68 = 83,248.02/x
  3. Step 3: Cross multiply
    131,004x = 180,814.68 × 83,248.02
  4. Step 4: Simplify right side
    131,004x = 15,052,464,096.93
  5. Step 5: Solve for x
    x = 15,052,464,096.93/131,004
  6. Step 6: Final answer
    x = 114,900.80

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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.