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Finding the Fourth Proportional to 105,897.78, 146,159.64 and 65,629.44

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Solution

The fourth proportional to 105,897.78, 146,159.64 and 65,629.44 is: 90,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,897.78 : 146,159.64 = 65,629.44 : x
  2. Step 2: Convert to fraction form
    105,897.78/146,159.64 = 65,629.44/x
  3. Step 3: Cross multiply
    105,897.78x = 146,159.64 × 65,629.44
  4. Step 4: Simplify right side
    105,897.78x = 9,592,375,323.80
  5. Step 5: Solve for x
    x = 9,592,375,323.80/105,897.78
  6. Step 6: Final answer
    x = 90,581.46

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1.5x scale

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.