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Finding the Fourth Proportional to 118,710, 163,819.80 and 65,718

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Solution

The fourth proportional to 118,710, 163,819.80 and 65,718 is: 90,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,710 : 163,819.80 = 65,718 : x
  2. Step 2: Convert to fraction form
    118,710/163,819.80 = 65,718/x
  3. Step 3: Cross multiply
    118,710x = 163,819.80 × 65,718
  4. Step 4: Simplify right side
    118,710x = 10,765,909,616.40
  5. Step 5: Solve for x
    x = 10,765,909,616.40/118,710
  6. Step 6: Final answer
    x = 90,690.84

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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.