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Finding the Fourth Proportional to 145,886.40, 201,317.40 and 82,237.41

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Solution

The fourth proportional to 145,886.40, 201,317.40 and 82,237.41 is: 113,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886.40 : 201,317.40 = 82,237.41 : x
  2. Step 2: Convert to fraction form
    145,886.40/201,317.40 = 82,237.41/x
  3. Step 3: Cross multiply
    145,886.40x = 201,317.40 × 82,237.41
  4. Step 4: Simplify right side
    145,886.40x = 16,555,821,563.93
  5. Step 5: Solve for x
    x = 16,555,821,563.93/145,886.40
  6. Step 6: Final answer
    x = 113,484.34

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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.