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Finding the Fourth Proportional to 78,465.96, 117,651.56 and 31,664.16

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Solution

The fourth proportional to 78,465.96, 117,651.56 and 31,664.16 is: 47,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.96 : 117,651.56 = 31,664.16 : x
  2. Step 2: Convert to fraction form
    78,465.96/117,651.56 = 31,664.16/x
  3. Step 3: Cross multiply
    78,465.96x = 117,651.56 × 31,664.16
  4. Step 4: Simplify right side
    78,465.96x = 3,725,337,661.77
  5. Step 5: Solve for x
    x = 3,725,337,661.77/78,465.96
  6. Step 6: Final answer
    x = 47,477.12

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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.