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Finding the Fourth Proportional to 77,301.74, 115,974.75 and 37,870.40

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Solution

The fourth proportional to 77,301.74, 115,974.75 and 37,870.40 is: 56,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301.74 : 115,974.75 = 37,870.40 : x
  2. Step 2: Convert to fraction form
    77,301.74/115,974.75 = 37,870.40/x
  3. Step 3: Cross multiply
    77,301.74x = 115,974.75 × 37,870.40
  4. Step 4: Simplify right side
    77,301.74x = 4,392,010,172.40
  5. Step 5: Solve for x
    x = 4,392,010,172.40/77,301.74
  6. Step 6: Final answer
    x = 56,816.45

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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.