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Finding the Fourth Proportional to 118,931.26, 164,130.10 and 65,218.32

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Solution

The fourth proportional to 118,931.26, 164,130.10 and 65,218.32 is: 90,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,931.26 : 164,130.10 = 65,218.32 : x
  2. Step 2: Convert to fraction form
    118,931.26/164,130.10 = 65,218.32/x
  3. Step 3: Cross multiply
    118,931.26x = 164,130.10 × 65,218.32
  4. Step 4: Simplify right side
    118,931.26x = 10,704,289,383.43
  5. Step 5: Solve for x
    x = 10,704,289,383.43/118,931.26
  6. Step 6: Final answer
    x = 90,004.00

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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.