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Finding the Fourth Proportional to 118,320, 163,280.77 and 64,604.98

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Solution

The fourth proportional to 118,320, 163,280.77 and 64,604.98 is: 89,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,320 : 163,280.77 = 64,604.98 : x
  2. Step 2: Convert to fraction form
    118,320/163,280.77 = 64,604.98/x
  3. Step 3: Cross multiply
    118,320x = 163,280.77 × 64,604.98
  4. Step 4: Simplify right side
    118,320x = 10,548,750,880.23
  5. Step 5: Solve for x
    x = 10,548,750,880.23/118,320
  6. Step 6: Final answer
    x = 89,154.42

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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.