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Finding the Fourth Proportional to 286,641.56, 430,014.05 and 118,069.86

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Solution

The fourth proportional to 286,641.56, 430,014.05 and 118,069.86 is: 177,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.56 : 430,014.05 = 118,069.86 : x
  2. Step 2: Convert to fraction form
    286,641.56/430,014.05 = 118,069.86/x
  3. Step 3: Cross multiply
    286,641.56x = 430,014.05 × 118,069.86
  4. Step 4: Simplify right side
    286,641.56x = 50,771,698,091.18
  5. Step 5: Solve for x
    x = 50,771,698,091.18/286,641.56
  6. Step 6: Final answer
    x = 177,126.09

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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.