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Finding the Fourth Proportional to 145,615.21, 201,011 and 97,896.24

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Solution

The fourth proportional to 145,615.21, 201,011 and 97,896.24 is: 135,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.21 : 201,011 = 97,896.24 : x
  2. Step 2: Convert to fraction form
    145,615.21/201,011 = 97,896.24/x
  3. Step 3: Cross multiply
    145,615.21x = 201,011 × 97,896.24
  4. Step 4: Simplify right side
    145,615.21x = 19,678,221,098.64
  5. Step 5: Solve for x
    x = 19,678,221,098.64/145,615.21
  6. Step 6: Final answer
    x = 135,138.50

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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.