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Finding the Fourth Proportional to 77,703.99, 116,538.69 and 30,320.34

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Solution

The fourth proportional to 77,703.99, 116,538.69 and 30,320.34 is: 45,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,703.99 : 116,538.69 = 30,320.34 : x
  2. Step 2: Convert to fraction form
    77,703.99/116,538.69 = 30,320.34/x
  3. Step 3: Cross multiply
    77,703.99x = 116,538.69 × 30,320.34
  4. Step 4: Simplify right side
    77,703.99x = 3,533,492,703.95
  5. Step 5: Solve for x
    x = 3,533,492,703.95/77,703.99
  6. Step 6: Final answer
    x = 45,473.76

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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.