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Finding the Fourth Proportional to 198,672, 274,225.68 and 118,156.56

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Solution

The fourth proportional to 198,672, 274,225.68 and 118,156.56 is: 163,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,672 : 274,225.68 = 118,156.56 : x
  2. Step 2: Convert to fraction form
    198,672/274,225.68 = 118,156.56/x
  3. Step 3: Cross multiply
    198,672x = 274,225.68 × 118,156.56
  4. Step 4: Simplify right side
    198,672x = 32,401,563,012.46
  5. Step 5: Solve for x
    x = 32,401,563,012.46/198,672
  6. Step 6: Final answer
    x = 163,090.74

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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.