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Finding the Fourth Proportional to 106,616, 147,130.08 and 61,904

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Solution

The fourth proportional to 106,616, 147,130.08 and 61,904 is: 85,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616 : 147,130.08 = 61,904 : x
  2. Step 2: Convert to fraction form
    106,616/147,130.08 = 61,904/x
  3. Step 3: Cross multiply
    106,616x = 147,130.08 × 61,904
  4. Step 4: Simplify right side
    106,616x = 9,107,940,472.32
  5. Step 5: Solve for x
    x = 9,107,940,472.32/106,616
  6. Step 6: Final answer
    x = 85,427.52

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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.