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Finding the Fourth Proportional to 78,315.66, 108,026.44 and 46,462

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Solution

The fourth proportional to 78,315.66, 108,026.44 and 46,462 is: 64,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,315.66 : 108,026.44 = 46,462 : x
  2. Step 2: Convert to fraction form
    78,315.66/108,026.44 = 46,462/x
  3. Step 3: Cross multiply
    78,315.66x = 108,026.44 × 46,462
  4. Step 4: Simplify right side
    78,315.66x = 5,019,124,455.28
  5. Step 5: Solve for x
    x = 5,019,124,455.28/78,315.66
  6. Step 6: Final answer
    x = 64,088.39

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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.