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Finding the Fourth Proportional to 106,129, 146,458.02 and 61,417

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Solution

The fourth proportional to 106,129, 146,458.02 and 61,417 is: 84,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129 : 146,458.02 = 61,417 : x
  2. Step 2: Convert to fraction form
    106,129/146,458.02 = 61,417/x
  3. Step 3: Cross multiply
    106,129x = 146,458.02 × 61,417
  4. Step 4: Simplify right side
    106,129x = 8,995,012,214.34
  5. Step 5: Solve for x
    x = 8,995,012,214.34/106,129
  6. Step 6: Final answer
    x = 84,755.46

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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.