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Finding the Fourth Proportional to 145,676.84, 201,090.44 and 113,856

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Solution

The fourth proportional to 145,676.84, 201,090.44 and 113,856 is: 157,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,676.84 : 201,090.44 = 113,856 : x
  2. Step 2: Convert to fraction form
    145,676.84/201,090.44 = 113,856/x
  3. Step 3: Cross multiply
    145,676.84x = 201,090.44 × 113,856
  4. Step 4: Simplify right side
    145,676.84x = 22,895,353,136.64
  5. Step 5: Solve for x
    x = 22,895,353,136.64/145,676.84
  6. Step 6: Final answer
    x = 157,165.36

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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.