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Finding the Fourth Proportional to 110,803.80, 166,205.70 and 77,561.40

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Solution

The fourth proportional to 110,803.80, 166,205.70 and 77,561.40 is: 116,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,803.80 : 166,205.70 = 77,561.40 : x
  2. Step 2: Convert to fraction form
    110,803.80/166,205.70 = 77,561.40/x
  3. Step 3: Cross multiply
    110,803.80x = 166,205.70 × 77,561.40
  4. Step 4: Simplify right side
    110,803.80x = 12,891,146,779.98
  5. Step 5: Solve for x
    x = 12,891,146,779.98/110,803.80
  6. Step 6: Final answer
    x = 116,342.10

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1.5x scale

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.