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Finding the Fourth Proportional to 55,894, 77,134.44 and 30,744.40

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Solution

The fourth proportional to 55,894, 77,134.44 and 30,744.40 is: 42,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894 : 77,134.44 = 30,744.40 : x
  2. Step 2: Convert to fraction form
    55,894/77,134.44 = 30,744.40/x
  3. Step 3: Cross multiply
    55,894x = 77,134.44 × 30,744.40
  4. Step 4: Simplify right side
    55,894x = 2,371,452,077.14
  5. Step 5: Solve for x
    x = 2,371,452,077.14/55,894
  6. Step 6: Final answer
    x = 42,427.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.