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Finding the Fourth Proportional to 140,030.84, 209,978.04 and 46,505

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Solution

The fourth proportional to 140,030.84, 209,978.04 and 46,505 is: 69,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,030.84 : 209,978.04 = 46,505 : x
  2. Step 2: Convert to fraction form
    140,030.84/209,978.04 = 46,505/x
  3. Step 3: Cross multiply
    140,030.84x = 209,978.04 × 46,505
  4. Step 4: Simplify right side
    140,030.84x = 9,765,028,750.20
  5. Step 5: Solve for x
    x = 9,765,028,750.20/140,030.84
  6. Step 6: Final answer
    x = 69,734.84

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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.