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Finding the Fourth Proportional to 106,989.23, 147,644.91 and 61,666.91

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Solution

The fourth proportional to 106,989.23, 147,644.91 and 61,666.91 is: 85,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.23 : 147,644.91 = 61,666.91 : x
  2. Step 2: Convert to fraction form
    106,989.23/147,644.91 = 61,666.91/x
  3. Step 3: Cross multiply
    106,989.23x = 147,644.91 × 61,666.91
  4. Step 4: Simplify right side
    106,989.23x = 9,104,804,638.70
  5. Step 5: Solve for x
    x = 9,104,804,638.70/106,989.23
  6. Step 6: Final answer
    x = 85,100.20

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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.