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Finding the Fourth Proportional to 77,082.67, 115,643.40 and 21,678.67

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Solution

The fourth proportional to 77,082.67, 115,643.40 and 21,678.67 is: 32,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.67 : 115,643.40 = 21,678.67 : x
  2. Step 2: Convert to fraction form
    77,082.67/115,643.40 = 21,678.67/x
  3. Step 3: Cross multiply
    77,082.67x = 115,643.40 × 21,678.67
  4. Step 4: Simplify right side
    77,082.67x = 2,506,995,106.28
  5. Step 5: Solve for x
    x = 2,506,995,106.28/77,082.67
  6. Step 6: Final answer
    x = 32,523.46

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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.