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Finding the Fourth Proportional to 218,767.50, 301,899.42 and 118,165.50

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Solution

The fourth proportional to 218,767.50, 301,899.42 and 118,165.50 is: 163,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,767.50 : 301,899.42 = 118,165.50 : x
  2. Step 2: Convert to fraction form
    218,767.50/301,899.42 = 118,165.50/x
  3. Step 3: Cross multiply
    218,767.50x = 301,899.42 × 118,165.50
  4. Step 4: Simplify right side
    218,767.50x = 35,674,095,914.01
  5. Step 5: Solve for x
    x = 35,674,095,914.01/218,767.50
  6. Step 6: Final answer
    x = 163,068.54

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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.