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Finding the Fourth Proportional to 120,298.50, 166,011.93 and 70,030.98

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Solution

The fourth proportional to 120,298.50, 166,011.93 and 70,030.98 is: 96,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,298.50 : 166,011.93 = 70,030.98 : x
  2. Step 2: Convert to fraction form
    120,298.50/166,011.93 = 70,030.98/x
  3. Step 3: Cross multiply
    120,298.50x = 166,011.93 × 70,030.98
  4. Step 4: Simplify right side
    120,298.50x = 11,625,978,149.59
  5. Step 5: Solve for x
    x = 11,625,978,149.59/120,298.50
  6. Step 6: Final answer
    x = 96,642.75

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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.