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Finding the Fourth Proportional to 106,507.39, 146,953.93 and 65,103.78

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Solution

The fourth proportional to 106,507.39, 146,953.93 and 65,103.78 is: 89,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.39 : 146,953.93 = 65,103.78 : x
  2. Step 2: Convert to fraction form
    106,507.39/146,953.93 = 65,103.78/x
  3. Step 3: Cross multiply
    106,507.39x = 146,953.93 × 65,103.78
  4. Step 4: Simplify right side
    106,507.39x = 9,567,256,391.93
  5. Step 5: Solve for x
    x = 9,567,256,391.93/106,507.39
  6. Step 6: Final answer
    x = 89,827.16

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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.