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Finding the Fourth Proportional to 78,130.14, 107,748.72 and 51,262.44

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Solution

The fourth proportional to 78,130.14, 107,748.72 and 51,262.44 is: 70,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,130.14 : 107,748.72 = 51,262.44 : x
  2. Step 2: Convert to fraction form
    78,130.14/107,748.72 = 51,262.44/x
  3. Step 3: Cross multiply
    78,130.14x = 107,748.72 × 51,262.44
  4. Step 4: Simplify right side
    78,130.14x = 5,523,462,294.08
  5. Step 5: Solve for x
    x = 5,523,462,294.08/78,130.14
  6. Step 6: Final answer
    x = 70,695.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.