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Finding the Fourth Proportional to 138,950.04, 208,704.04 and 82,899.50

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Solution

The fourth proportional to 138,950.04, 208,704.04 and 82,899.50 is: 124,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,950.04 : 208,704.04 = 82,899.50 : x
  2. Step 2: Convert to fraction form
    138,950.04/208,704.04 = 82,899.50/x
  3. Step 3: Cross multiply
    138,950.04x = 208,704.04 × 82,899.50
  4. Step 4: Simplify right side
    138,950.04x = 17,301,460,878.49
  5. Step 5: Solve for x
    x = 17,301,460,878.49/138,950.04
  6. Step 6: Final answer
    x = 124,515.70

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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.