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Finding the Fourth Proportional to 103,772.30, 155,658.45 and 51,284.30

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Solution

The fourth proportional to 103,772.30, 155,658.45 and 51,284.30 is: 76,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,772.30 : 155,658.45 = 51,284.30 : x
  2. Step 2: Convert to fraction form
    103,772.30/155,658.45 = 51,284.30/x
  3. Step 3: Cross multiply
    103,772.30x = 155,658.45 × 51,284.30
  4. Step 4: Simplify right side
    103,772.30x = 7,982,834,647.34
  5. Step 5: Solve for x
    x = 7,982,834,647.34/103,772.30
  6. Step 6: Final answer
    x = 76,926.45

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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.