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Finding the Fourth Proportional to 223,172.04, 307,888.38 and 142,578.66

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Solution

The fourth proportional to 223,172.04, 307,888.38 and 142,578.66 is: 196,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,172.04 : 307,888.38 = 142,578.66 : x
  2. Step 2: Convert to fraction form
    223,172.04/307,888.38 = 142,578.66/x
  3. Step 3: Cross multiply
    223,172.04x = 307,888.38 × 142,578.66
  4. Step 4: Simplify right side
    223,172.04x = 43,898,312,649.97
  5. Step 5: Solve for x
    x = 43,898,312,649.97/223,172.04
  6. Step 6: Final answer
    x = 196,701.67

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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.