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Finding the Fourth Proportional to 77,478.40, 115,924.26 and 45,905.38

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Solution

The fourth proportional to 77,478.40, 115,924.26 and 45,905.38 is: 68,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478.40 : 115,924.26 = 45,905.38 : x
  2. Step 2: Convert to fraction form
    77,478.40/115,924.26 = 45,905.38/x
  3. Step 3: Cross multiply
    77,478.40x = 115,924.26 × 45,905.38
  4. Step 4: Simplify right side
    77,478.40x = 5,321,547,206.52
  5. Step 5: Solve for x
    x = 5,321,547,206.52/77,478.40
  6. Step 6: Final answer
    x = 68,684.27

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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.