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Finding the Fourth Proportional to 78,467, 117,618.14 and 38,430.76

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Solution

The fourth proportional to 78,467, 117,618.14 and 38,430.76 is: 57,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467 : 117,618.14 = 38,430.76 : x
  2. Step 2: Convert to fraction form
    78,467/117,618.14 = 38,430.76/x
  3. Step 3: Cross multiply
    78,467x = 117,618.14 × 38,430.76
  4. Step 4: Simplify right side
    78,467x = 4,520,154,509.99
  5. Step 5: Solve for x
    x = 4,520,154,509.99/78,467
  6. Step 6: Final answer
    x = 57,605.80

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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.