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Finding the Fourth Proportional to 84,852, 117,095.76 and 47,129.76

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Solution

The fourth proportional to 84,852, 117,095.76 and 47,129.76 is: 65,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,852 : 117,095.76 = 47,129.76 : x
  2. Step 2: Convert to fraction form
    84,852/117,095.76 = 47,129.76/x
  3. Step 3: Cross multiply
    84,852x = 117,095.76 × 47,129.76
  4. Step 4: Simplify right side
    84,852x = 5,518,695,065.82
  5. Step 5: Solve for x
    x = 5,518,695,065.82/84,852
  6. Step 6: Final answer
    x = 65,039.07

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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.