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Finding the Fourth Proportional to 105,538.40, 158,000.40 and 102,466.40

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Solution

The fourth proportional to 105,538.40, 158,000.40 and 102,466.40 is: 153,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538.40 : 158,000.40 = 102,466.40 : x
  2. Step 2: Convert to fraction form
    105,538.40/158,000.40 = 102,466.40/x
  3. Step 3: Cross multiply
    105,538.40x = 158,000.40 × 102,466.40
  4. Step 4: Simplify right side
    105,538.40x = 16,189,732,186.56
  5. Step 5: Solve for x
    x = 16,189,732,186.56/105,538.40
  6. Step 6: Final answer
    x = 153,401.34

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1.5x scale

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.