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Finding the Fourth Proportional to 78,346.69, 117,566.73 and 28,430.68

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Solution

The fourth proportional to 78,346.69, 117,566.73 and 28,430.68 is: 42,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346.69 : 117,566.73 = 28,430.68 : x
  2. Step 2: Convert to fraction form
    78,346.69/117,566.73 = 28,430.68/x
  3. Step 3: Cross multiply
    78,346.69x = 117,566.73 × 28,430.68
  4. Step 4: Simplify right side
    78,346.69x = 3,342,502,005.80
  5. Step 5: Solve for x
    x = 3,342,502,005.80/78,346.69
  6. Step 6: Final answer
    x = 42,662.97

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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.