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Finding the Fourth Proportional to 145,478.40, 200,736.74 and 81,812.40

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Solution

The fourth proportional to 145,478.40, 200,736.74 and 81,812.40 is: 112,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,478.40 : 200,736.74 = 81,812.40 : x
  2. Step 2: Convert to fraction form
    145,478.40/200,736.74 = 81,812.40/x
  3. Step 3: Cross multiply
    145,478.40x = 200,736.74 × 81,812.40
  4. Step 4: Simplify right side
    145,478.40x = 16,422,754,467.58
  5. Step 5: Solve for x
    x = 16,422,754,467.58/145,478.40
  6. Step 6: Final answer
    x = 112,887.92

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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.