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Finding the Fourth Proportional to 78,442.56, 117,748.08 and 31,726.08

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Solution

The fourth proportional to 78,442.56, 117,748.08 and 31,726.08 is: 47,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.56 : 117,748.08 = 31,726.08 : x
  2. Step 2: Convert to fraction form
    78,442.56/117,748.08 = 31,726.08/x
  3. Step 3: Cross multiply
    78,442.56x = 117,748.08 × 31,726.08
  4. Step 4: Simplify right side
    78,442.56x = 3,735,685,005.93
  5. Step 5: Solve for x
    x = 3,735,685,005.93/78,442.56
  6. Step 6: Final answer
    x = 47,623.19

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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.