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Finding the Fourth Proportional to 213,745.08, 320,547.34 and 78,778

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Solution

The fourth proportional to 213,745.08, 320,547.34 and 78,778 is: 118,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,745.08 : 320,547.34 = 78,778 : x
  2. Step 2: Convert to fraction form
    213,745.08/320,547.34 = 78,778/x
  3. Step 3: Cross multiply
    213,745.08x = 320,547.34 × 78,778
  4. Step 4: Simplify right side
    213,745.08x = 25,252,078,350.52
  5. Step 5: Solve for x
    x = 25,252,078,350.52/213,745.08
  6. Step 6: Final answer
    x = 118,141.10

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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.