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Finding the Fourth Proportional to 85,119, 127,702.86 and 28,971.48

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Solution

The fourth proportional to 85,119, 127,702.86 and 28,971.48 is: 43,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,119 : 127,702.86 = 28,971.48 : x
  2. Step 2: Convert to fraction form
    85,119/127,702.86 = 28,971.48/x
  3. Step 3: Cross multiply
    85,119x = 127,702.86 × 28,971.48
  4. Step 4: Simplify right side
    85,119x = 3,699,740,854.43
  5. Step 5: Solve for x
    x = 3,699,740,854.43/85,119
  6. Step 6: Final answer
    x = 43,465.51

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1.5x scale

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.