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Finding the Fourth Proportional to 107,289.80, 160,916.47 and 28,412.00

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Solution

The fourth proportional to 107,289.80, 160,916.47 and 28,412.00 is: 42,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,289.80 : 160,916.47 = 28,412.00 : x
  2. Step 2: Convert to fraction form
    107,289.80/160,916.47 = 28,412.00/x
  3. Step 3: Cross multiply
    107,289.80x = 160,916.47 × 28,412.00
  4. Step 4: Simplify right side
    107,289.80x = 4,571,958,633.28
  5. Step 5: Solve for x
    x = 4,571,958,633.28/107,289.80
  6. Step 6: Final answer
    x = 42,613.17

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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.