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Finding the Fourth Proportional to 78,346.56, 117,566.54 and 28,430.56

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Solution

The fourth proportional to 78,346.56, 117,566.54 and 28,430.56 is: 42,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346.56 : 117,566.54 = 28,430.56 : x
  2. Step 2: Convert to fraction form
    78,346.56/117,566.54 = 28,430.56/x
  3. Step 3: Cross multiply
    78,346.56x = 117,566.54 × 28,430.56
  4. Step 4: Simplify right side
    78,346.56x = 3,342,482,052.71
  5. Step 5: Solve for x
    x = 3,342,482,052.71/78,346.56
  6. Step 6: Final answer
    x = 42,662.78

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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.