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Finding the Fourth Proportional to 287,206.56, 430,615.44 and 100,116

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Solution

The fourth proportional to 287,206.56, 430,615.44 and 100,116 is: 150,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,206.56 : 430,615.44 = 100,116 : x
  2. Step 2: Convert to fraction form
    287,206.56/430,615.44 = 100,116/x
  3. Step 3: Cross multiply
    287,206.56x = 430,615.44 × 100,116
  4. Step 4: Simplify right side
    287,206.56x = 43,111,495,391.04
  5. Step 5: Solve for x
    x = 43,111,495,391.04/287,206.56
  6. Step 6: Final answer
    x = 150,106.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.