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Finding the Fourth Proportional to 145,867.26, 201,297 and 78,799.26

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Solution

The fourth proportional to 145,867.26, 201,297 and 78,799.26 is: 108,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,867.26 : 201,297 = 78,799.26 : x
  2. Step 2: Convert to fraction form
    145,867.26/201,297 = 78,799.26/x
  3. Step 3: Cross multiply
    145,867.26x = 201,297 × 78,799.26
  4. Step 4: Simplify right side
    145,867.26x = 15,862,054,640.22
  5. Step 5: Solve for x
    x = 15,862,054,640.22/145,867.26
  6. Step 6: Final answer
    x = 108,743.08

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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.