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Finding the Fourth Proportional to 107,698.50, 148,748.40 and 71,826.30

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Solution

The fourth proportional to 107,698.50, 148,748.40 and 71,826.30 is: 99,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,698.50 : 148,748.40 = 71,826.30 : x
  2. Step 2: Convert to fraction form
    107,698.50/148,748.40 = 71,826.30/x
  3. Step 3: Cross multiply
    107,698.50x = 148,748.40 × 71,826.30
  4. Step 4: Simplify right side
    107,698.50x = 10,684,047,202.92
  5. Step 5: Solve for x
    x = 10,684,047,202.92/107,698.50
  6. Step 6: Final answer
    x = 99,203.31

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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.