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Finding the Fourth Proportional to 438,537.94, 657,806.93 and 106,113.94

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Solution

The fourth proportional to 438,537.94, 657,806.93 and 106,113.94 is: 159,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,537.94 : 657,806.93 = 106,113.94 : x
  2. Step 2: Convert to fraction form
    438,537.94/657,806.93 = 106,113.94/x
  3. Step 3: Cross multiply
    438,537.94x = 657,806.93 × 106,113.94
  4. Step 4: Simplify right side
    438,537.94x = 69,802,483,722.37
  5. Step 5: Solve for x
    x = 69,802,483,722.37/438,537.94
  6. Step 6: Final answer
    x = 159,170.91

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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.