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Finding the Fourth Proportional to 157,407.80, 217,216.41 and 85,786.28

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Solution

The fourth proportional to 157,407.80, 217,216.41 and 85,786.28 is: 118,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.80 : 217,216.41 = 85,786.28 : x
  2. Step 2: Convert to fraction form
    157,407.80/217,216.41 = 85,786.28/x
  3. Step 3: Cross multiply
    157,407.80x = 217,216.41 × 85,786.28
  4. Step 4: Simplify right side
    157,407.80x = 18,634,186,682.77
  5. Step 5: Solve for x
    x = 18,634,186,682.77/157,407.80
  6. Step 6: Final answer
    x = 118,381.60

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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.