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Finding the Fourth Proportional to 145,701.72, 201,069.12 and 85,260.54

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Solution

The fourth proportional to 145,701.72, 201,069.12 and 85,260.54 is: 117,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,701.72 : 201,069.12 = 85,260.54 : x
  2. Step 2: Convert to fraction form
    145,701.72/201,069.12 = 85,260.54/x
  3. Step 3: Cross multiply
    145,701.72x = 201,069.12 × 85,260.54
  4. Step 4: Simplify right side
    145,701.72x = 17,143,261,748.52
  5. Step 5: Solve for x
    x = 17,143,261,748.52/145,701.72
  6. Step 6: Final answer
    x = 117,659.98

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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.