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Finding the Fourth Proportional to 315,025.14, 472,539.43 and 78,367.82

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Solution

The fourth proportional to 315,025.14, 472,539.43 and 78,367.82 is: 117,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,025.14 : 472,539.43 = 78,367.82 : x
  2. Step 2: Convert to fraction form
    315,025.14/472,539.43 = 78,367.82/x
  3. Step 3: Cross multiply
    315,025.14x = 472,539.43 × 78,367.82
  4. Step 4: Simplify right side
    315,025.14x = 37,031,884,993.14
  5. Step 5: Solve for x
    x = 37,031,884,993.14/315,025.14
  6. Step 6: Final answer
    x = 117,552.16

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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.