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Finding the Fourth Proportional to 105,775.80, 145,969.50 and 58,029.60

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Solution

The fourth proportional to 105,775.80, 145,969.50 and 58,029.60 is: 80,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.80 : 145,969.50 = 58,029.60 : x
  2. Step 2: Convert to fraction form
    105,775.80/145,969.50 = 58,029.60/x
  3. Step 3: Cross multiply
    105,775.80x = 145,969.50 × 58,029.60
  4. Step 4: Simplify right side
    105,775.80x = 8,470,551,697.20
  5. Step 5: Solve for x
    x = 8,470,551,697.20/105,775.80
  6. Step 6: Final answer
    x = 80,080.24

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1.5x scale

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.