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Finding the Fourth Proportional to 118,948.84, 164,151.63 and 65,230.64

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Solution

The fourth proportional to 118,948.84, 164,151.63 and 65,230.64 is: 90,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,948.84 : 164,151.63 = 65,230.64 : x
  2. Step 2: Convert to fraction form
    118,948.84/164,151.63 = 65,230.64/x
  3. Step 3: Cross multiply
    118,948.84x = 164,151.63 × 65,230.64
  4. Step 4: Simplify right side
    118,948.84x = 10,707,715,881.94
  5. Step 5: Solve for x
    x = 10,707,715,881.94/118,948.84
  6. Step 6: Final answer
    x = 90,019.51

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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.