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Finding the Fourth Proportional to 55,898.81, 77,138.79 and 30,748.31

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Solution

The fourth proportional to 55,898.81, 77,138.79 and 30,748.31 is: 42,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,898.81 : 77,138.79 = 30,748.31 : x
  2. Step 2: Convert to fraction form
    55,898.81/77,138.79 = 30,748.31/x
  3. Step 3: Cross multiply
    55,898.81x = 77,138.79 × 30,748.31
  4. Step 4: Simplify right side
    55,898.81x = 2,371,887,427.94
  5. Step 5: Solve for x
    x = 2,371,887,427.94/55,898.81
  6. Step 6: Final answer
    x = 42,431.81

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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.