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Finding the Fourth Proportional to 170,493.81, 255,814.47 and 91,515.84

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Solution

The fourth proportional to 170,493.81, 255,814.47 and 91,515.84 is: 137,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,493.81 : 255,814.47 = 91,515.84 : x
  2. Step 2: Convert to fraction form
    170,493.81/255,814.47 = 91,515.84/x
  3. Step 3: Cross multiply
    170,493.81x = 255,814.47 × 91,515.84
  4. Step 4: Simplify right side
    170,493.81x = 23,411,076,106.20
  5. Step 5: Solve for x
    x = 23,411,076,106.20/170,493.81
  6. Step 6: Final answer
    x = 137,313.35

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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.