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Finding the Fourth Proportional to 213,871.56, 295,111.86 and 118,378.02

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Solution

The fourth proportional to 213,871.56, 295,111.86 and 118,378.02 is: 163,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,871.56 : 295,111.86 = 118,378.02 : x
  2. Step 2: Convert to fraction form
    213,871.56/295,111.86 = 118,378.02/x
  3. Step 3: Cross multiply
    213,871.56x = 295,111.86 × 118,378.02
  4. Step 4: Simplify right side
    213,871.56x = 34,934,758,328.07
  5. Step 5: Solve for x
    x = 34,934,758,328.07/213,871.56
  6. Step 6: Final answer
    x = 163,344.57

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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.