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Finding the Fourth Proportional to 77,709.62, 116,564.35 and 30,995.30

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Solution

The fourth proportional to 77,709.62, 116,564.35 and 30,995.30 is: 46,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.62 : 116,564.35 = 30,995.30 : x
  2. Step 2: Convert to fraction form
    77,709.62/116,564.35 = 30,995.30/x
  3. Step 3: Cross multiply
    77,709.62x = 116,564.35 × 30,995.30
  4. Step 4: Simplify right side
    77,709.62x = 3,612,946,997.56
  5. Step 5: Solve for x
    x = 3,612,946,997.56/77,709.62
  6. Step 6: Final answer
    x = 46,492.92

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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.