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Finding the Fourth Proportional to 46,608, 64,300.80 and 30,700.80

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Solution

The fourth proportional to 46,608, 64,300.80 and 30,700.80 is: 42,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,608 : 64,300.80 = 30,700.80 : x
  2. Step 2: Convert to fraction form
    46,608/64,300.80 = 30,700.80/x
  3. Step 3: Cross multiply
    46,608x = 64,300.80 × 30,700.80
  4. Step 4: Simplify right side
    46,608x = 1,974,086,000.64
  5. Step 5: Solve for x
    x = 1,974,086,000.64/46,608
  6. Step 6: Final answer
    x = 42,355.09

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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.