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Finding the Fourth Proportional to 218,776, 301,911.15 and 118,174

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Solution

The fourth proportional to 218,776, 301,911.15 and 118,174 is: 163,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776 : 301,911.15 = 118,174 : x
  2. Step 2: Convert to fraction form
    218,776/301,911.15 = 118,174/x
  3. Step 3: Cross multiply
    218,776x = 301,911.15 × 118,174
  4. Step 4: Simplify right side
    218,776x = 35,678,048,240.10
  5. Step 5: Solve for x
    x = 35,678,048,240.10/218,776
  6. Step 6: Final answer
    x = 163,080.27

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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.