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Finding the Fourth Proportional to 153,491.53, 211,815.12 and 85,508.41

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Solution

The fourth proportional to 153,491.53, 211,815.12 and 85,508.41 is: 117,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,491.53 : 211,815.12 = 85,508.41 : x
  2. Step 2: Convert to fraction form
    153,491.53/211,815.12 = 85,508.41/x
  3. Step 3: Cross multiply
    153,491.53x = 211,815.12 × 85,508.41
  4. Step 4: Simplify right side
    153,491.53x = 18,111,974,125.16
  5. Step 5: Solve for x
    x = 18,111,974,125.16/153,491.53
  6. Step 6: Final answer
    x = 117,999.83

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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.