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Finding the Fourth Proportional to 118,188, 163,113.10 and 65,805.24

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Solution

The fourth proportional to 118,188, 163,113.10 and 65,805.24 is: 90,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,188 : 163,113.10 = 65,805.24 : x
  2. Step 2: Convert to fraction form
    118,188/163,113.10 = 65,805.24/x
  3. Step 3: Cross multiply
    118,188x = 163,113.10 × 65,805.24
  4. Step 4: Simplify right side
    118,188x = 10,733,697,139.81
  5. Step 5: Solve for x
    x = 10,733,697,139.81/118,188
  6. Step 6: Final answer
    x = 90,818.84

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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.