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Finding the Fourth Proportional to 98,011, 135,256.26 and 53,299

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Solution

The fourth proportional to 98,011, 135,256.26 and 53,299 is: 73,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,011 : 135,256.26 = 53,299 : x
  2. Step 2: Convert to fraction form
    98,011/135,256.26 = 53,299/x
  3. Step 3: Cross multiply
    98,011x = 135,256.26 × 53,299
  4. Step 4: Simplify right side
    98,011x = 7,209,023,401.74
  5. Step 5: Solve for x
    x = 7,209,023,401.74/98,011
  6. Step 6: Final answer
    x = 73,553.21

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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.