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Finding the Fourth Proportional to 78,545, 108,391.26 and 46,713.20

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Solution

The fourth proportional to 78,545, 108,391.26 and 46,713.20 is: 64,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545 : 108,391.26 = 46,713.20 : x
  2. Step 2: Convert to fraction form
    78,545/108,391.26 = 46,713.20/x
  3. Step 3: Cross multiply
    78,545x = 108,391.26 × 46,713.20
  4. Step 4: Simplify right side
    78,545x = 5,063,302,606.63
  5. Step 5: Solve for x
    x = 5,063,302,606.63/78,545
  6. Step 6: Final answer
    x = 64,463.72

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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.