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Finding the Fourth Proportional to 118,909.66, 164,095.80 and 65,195.50

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Solution

The fourth proportional to 118,909.66, 164,095.80 and 65,195.50 is: 89,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,909.66 : 164,095.80 = 65,195.50 : x
  2. Step 2: Convert to fraction form
    118,909.66/164,095.80 = 65,195.50/x
  3. Step 3: Cross multiply
    118,909.66x = 164,095.80 × 65,195.50
  4. Step 4: Simplify right side
    118,909.66x = 10,698,307,728.90
  5. Step 5: Solve for x
    x = 10,698,307,728.90/118,909.66
  6. Step 6: Final answer
    x = 89,970.05

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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.