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Finding the Fourth Proportional to 145,478.16, 200,736.39 and 81,812.16

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Solution

The fourth proportional to 145,478.16, 200,736.39 and 81,812.16 is: 112,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,478.16 : 200,736.39 = 81,812.16 : x
  2. Step 2: Convert to fraction form
    145,478.16/200,736.39 = 81,812.16/x
  3. Step 3: Cross multiply
    145,478.16x = 200,736.39 × 81,812.16
  4. Step 4: Simplify right side
    145,478.16x = 16,422,677,656.50
  5. Step 5: Solve for x
    x = 16,422,677,656.50/145,478.16
  6. Step 6: Final answer
    x = 112,887.58

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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.