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Finding the Fourth Proportional to 103,564.69, 142,924.12 and 57,624.59

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Solution

The fourth proportional to 103,564.69, 142,924.12 and 57,624.59 is: 79,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,564.69 : 142,924.12 = 57,624.59 : x
  2. Step 2: Convert to fraction form
    103,564.69/142,924.12 = 57,624.59/x
  3. Step 3: Cross multiply
    103,564.69x = 142,924.12 × 57,624.59
  4. Step 4: Simplify right side
    103,564.69x = 8,235,943,816.11
  5. Step 5: Solve for x
    x = 8,235,943,816.11/103,564.69
  6. Step 6: Final answer
    x = 79,524.63

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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.