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Finding the Fourth Proportional to 103,782.90, 155,674.35 and 51,294.90

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Solution

The fourth proportional to 103,782.90, 155,674.35 and 51,294.90 is: 76,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782.90 : 155,674.35 = 51,294.90 : x
  2. Step 2: Convert to fraction form
    103,782.90/155,674.35 = 51,294.90/x
  3. Step 3: Cross multiply
    103,782.90x = 155,674.35 × 51,294.90
  4. Step 4: Simplify right side
    103,782.90x = 7,985,300,215.82
  5. Step 5: Solve for x
    x = 7,985,300,215.82/103,782.90
  6. Step 6: Final answer
    x = 76,942.35

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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.