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Finding the Fourth Proportional to 130,698.88, 180,312.24 and 85,361.44

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Solution

The fourth proportional to 130,698.88, 180,312.24 and 85,361.44 is: 117,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,698.88 : 180,312.24 = 85,361.44 : x
  2. Step 2: Convert to fraction form
    130,698.88/180,312.24 = 85,361.44/x
  3. Step 3: Cross multiply
    130,698.88x = 180,312.24 × 85,361.44
  4. Step 4: Simplify right side
    130,698.88x = 15,391,712,456.03
  5. Step 5: Solve for x
    x = 15,391,712,456.03/130,698.88
  6. Step 6: Final answer
    x = 117,764.69

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1.5x scale

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.