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Finding the Fourth Proportional to 77,286, 115,886.34 and 23,963.22

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Solution

The fourth proportional to 77,286, 115,886.34 and 23,963.22 is: 35,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,286 : 115,886.34 = 23,963.22 : x
  2. Step 2: Convert to fraction form
    77,286/115,886.34 = 23,963.22/x
  3. Step 3: Cross multiply
    77,286x = 115,886.34 × 23,963.22
  4. Step 4: Simplify right side
    77,286x = 2,777,009,860.41
  5. Step 5: Solve for x
    x = 2,777,009,860.41/77,286
  6. Step 6: Final answer
    x = 35,931.60

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1.5x scale

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.