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Finding the Fourth Proportional to 77,817.84, 115,986.51 and 73,388.76

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Solution

The fourth proportional to 77,817.84, 115,986.51 and 73,388.76 is: 109,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817.84 : 115,986.51 = 73,388.76 : x
  2. Step 2: Convert to fraction form
    77,817.84/115,986.51 = 73,388.76/x
  3. Step 3: Cross multiply
    77,817.84x = 115,986.51 × 73,388.76
  4. Step 4: Simplify right side
    77,817.84x = 8,512,106,145.63
  5. Step 5: Solve for x
    x = 8,512,106,145.63/77,817.84
  6. Step 6: Final answer
    x = 109,385.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.