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Finding the Fourth Proportional to 113,396.24, 156,506 and 65,678.60

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Solution

The fourth proportional to 113,396.24, 156,506 and 65,678.60 is: 90,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,396.24 : 156,506 = 65,678.60 : x
  2. Step 2: Convert to fraction form
    113,396.24/156,506 = 65,678.60/x
  3. Step 3: Cross multiply
    113,396.24x = 156,506 × 65,678.60
  4. Step 4: Simplify right side
    113,396.24x = 10,279,094,971.60
  5. Step 5: Solve for x
    x = 10,279,094,971.60/113,396.24
  6. Step 6: Final answer
    x = 90,647.58

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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.