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Finding the Fourth Proportional to 178,980.35, 268,598.40 and 65,127.86

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Solution

The fourth proportional to 178,980.35, 268,598.40 and 65,127.86 is: 97,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980.35 : 268,598.40 = 65,127.86 : x
  2. Step 2: Convert to fraction form
    178,980.35/268,598.40 = 65,127.86/x
  3. Step 3: Cross multiply
    178,980.35x = 268,598.40 × 65,127.86
  4. Step 4: Simplify right side
    178,980.35x = 17,493,237,648.43
  5. Step 5: Solve for x
    x = 17,493,237,648.43/178,980.35
  6. Step 6: Final answer
    x = 97,738.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.