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Finding the Fourth Proportional to 64,545.24, 96,734.16 and 28,980.30

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Solution

The fourth proportional to 64,545.24, 96,734.16 and 28,980.30 is: 43,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,545.24 : 96,734.16 = 28,980.30 : x
  2. Step 2: Convert to fraction form
    64,545.24/96,734.16 = 28,980.30/x
  3. Step 3: Cross multiply
    64,545.24x = 96,734.16 × 28,980.30
  4. Step 4: Simplify right side
    64,545.24x = 2,803,384,977.05
  5. Step 5: Solve for x
    x = 2,803,384,977.05/64,545.24
  6. Step 6: Final answer
    x = 43,432.87

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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.