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Finding the Fourth Proportional to 78,313.66, 108,023.69 and 46,460

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Solution

The fourth proportional to 78,313.66, 108,023.69 and 46,460 is: 64,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,313.66 : 108,023.69 = 46,460 : x
  2. Step 2: Convert to fraction form
    78,313.66/108,023.69 = 46,460/x
  3. Step 3: Cross multiply
    78,313.66x = 108,023.69 × 46,460
  4. Step 4: Simplify right side
    78,313.66x = 5,018,780,405.10
  5. Step 5: Solve for x
    x = 5,018,780,405.10/78,313.66
  6. Step 6: Final answer
    x = 64,085.64

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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.