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Finding the Fourth Proportional to 118,827, 163,981.26 and 65,835

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Solution

The fourth proportional to 118,827, 163,981.26 and 65,835 is: 90,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,827 : 163,981.26 = 65,835 : x
  2. Step 2: Convert to fraction form
    118,827/163,981.26 = 65,835/x
  3. Step 3: Cross multiply
    118,827x = 163,981.26 × 65,835
  4. Step 4: Simplify right side
    118,827x = 10,795,706,252.10
  5. Step 5: Solve for x
    x = 10,795,706,252.10/118,827
  6. Step 6: Final answer
    x = 90,852.30

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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.