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Finding the Fourth Proportional to 77,393, 106,812.42 and 45,564.84

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Solution

The fourth proportional to 77,393, 106,812.42 and 45,564.84 is: 62,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393 : 106,812.42 = 45,564.84 : x
  2. Step 2: Convert to fraction form
    77,393/106,812.42 = 45,564.84/x
  3. Step 3: Cross multiply
    77,393x = 106,812.42 × 45,564.84
  4. Step 4: Simplify right side
    77,393x = 4,866,890,827.31
  5. Step 5: Solve for x
    x = 4,866,890,827.31/77,393
  6. Step 6: Final answer
    x = 62,885.41

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1.5x scale

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.