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Finding the Fourth Proportional to 145,284.91, 200,412.23 and 135,009.92

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Solution

The fourth proportional to 145,284.91, 200,412.23 and 135,009.92 is: 186,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,284.91 : 200,412.23 = 135,009.92 : x
  2. Step 2: Convert to fraction form
    145,284.91/200,412.23 = 135,009.92/x
  3. Step 3: Cross multiply
    145,284.91x = 200,412.23 × 135,009.92
  4. Step 4: Simplify right side
    145,284.91x = 27,057,638,965.30
  5. Step 5: Solve for x
    x = 27,057,638,965.30/145,284.91
  6. Step 6: Final answer
    x = 186,238.47

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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.