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Finding the Fourth Proportional to 106,075.66, 146,348 and 65,774.92

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Solution

The fourth proportional to 106,075.66, 146,348 and 65,774.92 is: 90,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,075.66 : 146,348 = 65,774.92 : x
  2. Step 2: Convert to fraction form
    106,075.66/146,348 = 65,774.92/x
  3. Step 3: Cross multiply
    106,075.66x = 146,348 × 65,774.92
  4. Step 4: Simplify right side
    106,075.66x = 9,626,027,992.16
  5. Step 5: Solve for x
    x = 9,626,027,992.16/106,075.66
  6. Step 6: Final answer
    x = 90,746.81

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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.