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Finding the Fourth Proportional to 86,492.69, 119,360.05 and 47,729.60

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Solution

The fourth proportional to 86,492.69, 119,360.05 and 47,729.60 is: 65,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,492.69 : 119,360.05 = 47,729.60 : x
  2. Step 2: Convert to fraction form
    86,492.69/119,360.05 = 47,729.60/x
  3. Step 3: Cross multiply
    86,492.69x = 119,360.05 × 47,729.60
  4. Step 4: Simplify right side
    86,492.69x = 5,697,007,845.36
  5. Step 5: Solve for x
    x = 5,697,007,845.36/86,492.69
  6. Step 6: Final answer
    x = 65,866.93

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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.