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Finding the Fourth Proportional to 118,701.20, 178,051.80 and 105,798.80

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Solution

The fourth proportional to 118,701.20, 178,051.80 and 105,798.80 is: 158,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,701.20 : 178,051.80 = 105,798.80 : x
  2. Step 2: Convert to fraction form
    118,701.20/178,051.80 = 105,798.80/x
  3. Step 3: Cross multiply
    118,701.20x = 178,051.80 × 105,798.80
  4. Step 4: Simplify right side
    118,701.20x = 18,837,666,777.84
  5. Step 5: Solve for x
    x = 18,837,666,777.84/118,701.20
  6. Step 6: Final answer
    x = 158,698.20

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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.