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Finding the Fourth Proportional to 157,395.78, 217,199.88 and 85,774.28

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Solution

The fourth proportional to 157,395.78, 217,199.88 and 85,774.28 is: 118,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,395.78 : 217,199.88 = 85,774.28 : x
  2. Step 2: Convert to fraction form
    157,395.78/217,199.88 = 85,774.28/x
  3. Step 3: Cross multiply
    157,395.78x = 217,199.88 × 85,774.28
  4. Step 4: Simplify right side
    157,395.78x = 18,630,163,323.09
  5. Step 5: Solve for x
    x = 18,630,163,323.09/157,395.78
  6. Step 6: Final answer
    x = 118,365.08

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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.