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Finding the Fourth Proportional to 78,508.36, 117,750.93 and 25,918.30

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Solution

The fourth proportional to 78,508.36, 117,750.93 and 25,918.30 is: 38,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.36 : 117,750.93 = 25,918.30 : x
  2. Step 2: Convert to fraction form
    78,508.36/117,750.93 = 25,918.30/x
  3. Step 3: Cross multiply
    78,508.36x = 117,750.93 × 25,918.30
  4. Step 4: Simplify right side
    78,508.36x = 3,051,903,929.02
  5. Step 5: Solve for x
    x = 3,051,903,929.02/78,508.36
  6. Step 6: Final answer
    x = 38,873.62

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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.