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Finding the Fourth Proportional to 71,512, 98,686.56 and 46,361.50

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Solution

The fourth proportional to 71,512, 98,686.56 and 46,361.50 is: 63,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,512 : 98,686.56 = 46,361.50 : x
  2. Step 2: Convert to fraction form
    71,512/98,686.56 = 46,361.50/x
  3. Step 3: Cross multiply
    71,512x = 98,686.56 × 46,361.50
  4. Step 4: Simplify right side
    71,512x = 4,575,256,951.44
  5. Step 5: Solve for x
    x = 4,575,256,951.44/71,512
  6. Step 6: Final answer
    x = 63,978.87

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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.