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Finding the Fourth Proportional to 77,293.40, 115,940.10 and 37,830.20

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Solution

The fourth proportional to 77,293.40, 115,940.10 and 37,830.20 is: 56,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,293.40 : 115,940.10 = 37,830.20 : x
  2. Step 2: Convert to fraction form
    77,293.40/115,940.10 = 37,830.20/x
  3. Step 3: Cross multiply
    77,293.40x = 115,940.10 × 37,830.20
  4. Step 4: Simplify right side
    77,293.40x = 4,386,037,171.02
  5. Step 5: Solve for x
    x = 4,386,037,171.02/77,293.40
  6. Step 6: Final answer
    x = 56,745.30

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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.