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Finding the Fourth Proportional to 78,460.08, 117,653.12 and 28,504.94

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Solution

The fourth proportional to 78,460.08, 117,653.12 and 28,504.94 is: 42,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460.08 : 117,653.12 = 28,504.94 : x
  2. Step 2: Convert to fraction form
    78,460.08/117,653.12 = 28,504.94/x
  3. Step 3: Cross multiply
    78,460.08x = 117,653.12 × 28,504.94
  4. Step 4: Simplify right side
    78,460.08x = 3,353,695,126.41
  5. Step 5: Solve for x
    x = 3,353,695,126.41/78,460.08
  6. Step 6: Final answer
    x = 42,743.97

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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.