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Finding the Fourth Proportional to 208,073.81, 312,129.16 and 58,315.91

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Solution

The fourth proportional to 208,073.81, 312,129.16 and 58,315.91 is: 87,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,073.81 : 312,129.16 = 58,315.91 : x
  2. Step 2: Convert to fraction form
    208,073.81/312,129.16 = 58,315.91/x
  3. Step 3: Cross multiply
    208,073.81x = 312,129.16 × 58,315.91
  4. Step 4: Simplify right side
    208,073.81x = 18,202,094,296.50
  5. Step 5: Solve for x
    x = 18,202,094,296.50/208,073.81
  6. Step 6: Final answer
    x = 87,479.03

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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.