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Finding the Fourth Proportional to 118,943.64, 164,144.48 and 65,225.25

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Solution

The fourth proportional to 118,943.64, 164,144.48 and 65,225.25 is: 90,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,943.64 : 164,144.48 = 65,225.25 : x
  2. Step 2: Convert to fraction form
    118,943.64/164,144.48 = 65,225.25/x
  3. Step 3: Cross multiply
    118,943.64x = 164,144.48 × 65,225.25
  4. Step 4: Simplify right side
    118,943.64x = 10,706,364,417.99
  5. Step 5: Solve for x
    x = 10,706,364,417.99/118,943.64
  6. Step 6: Final answer
    x = 90,012.08

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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.