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Finding the Fourth Proportional to 118,846.25, 164,009.13 and 65,130.12

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Solution

The fourth proportional to 118,846.25, 164,009.13 and 65,130.12 is: 89,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,846.25 : 164,009.13 = 65,130.12 : x
  2. Step 2: Convert to fraction form
    118,846.25/164,009.13 = 65,130.12/x
  3. Step 3: Cross multiply
    118,846.25x = 164,009.13 × 65,130.12
  4. Step 4: Simplify right side
    118,846.25x = 10,681,934,318.00
  5. Step 5: Solve for x
    x = 10,681,934,318.00/118,846.25
  6. Step 6: Final answer
    x = 89,880.28

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1.5x scale

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.