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Finding the Fourth Proportional to 70,902.34, 106,345.26 and 18,307.68

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Solution

The fourth proportional to 70,902.34, 106,345.26 and 18,307.68 is: 27,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.34 : 106,345.26 = 18,307.68 : x
  2. Step 2: Convert to fraction form
    70,902.34/106,345.26 = 18,307.68/x
  3. Step 3: Cross multiply
    70,902.34x = 106,345.26 × 18,307.68
  4. Step 4: Simplify right side
    70,902.34x = 1,946,934,989.60
  5. Step 5: Solve for x
    x = 1,946,934,989.60/70,902.34
  6. Step 6: Final answer
    x = 27,459.39

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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.