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Finding the Fourth Proportional to 208,345.58, 312,518.49 and 58,585.87

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Solution

The fourth proportional to 208,345.58, 312,518.49 and 58,585.87 is: 87,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,345.58 : 312,518.49 = 58,585.87 : x
  2. Step 2: Convert to fraction form
    208,345.58/312,518.49 = 58,585.87/x
  3. Step 3: Cross multiply
    208,345.58x = 312,518.49 × 58,585.87
  4. Step 4: Simplify right side
    208,345.58x = 18,309,167,798.69
  5. Step 5: Solve for x
    x = 18,309,167,798.69/208,345.58
  6. Step 6: Final answer
    x = 87,878.84

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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.