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Finding the Fourth Proportional to 58,640, 80,928.32 and 32,149.12

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Solution

The fourth proportional to 58,640, 80,928.32 and 32,149.12 is: 44,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,640 : 80,928.32 = 32,149.12 : x
  2. Step 2: Convert to fraction form
    58,640/80,928.32 = 32,149.12/x
  3. Step 3: Cross multiply
    58,640x = 80,928.32 × 32,149.12
  4. Step 4: Simplify right side
    58,640x = 2,601,774,271.08
  5. Step 5: Solve for x
    x = 2,601,774,271.08/58,640
  6. Step 6: Final answer
    x = 44,368.59

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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.