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Finding the Fourth Proportional to 157,120.24, 216,830.48 and 85,504.88

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Solution

The fourth proportional to 157,120.24, 216,830.48 and 85,504.88 is: 117,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,120.24 : 216,830.48 = 85,504.88 : x
  2. Step 2: Convert to fraction form
    157,120.24/216,830.48 = 85,504.88/x
  3. Step 3: Cross multiply
    157,120.24x = 216,830.48 × 85,504.88
  4. Step 4: Simplify right side
    157,120.24x = 18,540,064,172.74
  5. Step 5: Solve for x
    x = 18,540,064,172.74/157,120.24
  6. Step 6: Final answer
    x = 117,999.21

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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.