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Finding the Fourth Proportional to 77,402, 106,824.84 and 45,573.84

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Solution

The fourth proportional to 77,402, 106,824.84 and 45,573.84 is: 62,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,402 : 106,824.84 = 45,573.84 : x
  2. Step 2: Convert to fraction form
    77,402/106,824.84 = 45,573.84/x
  3. Step 3: Cross multiply
    77,402x = 106,824.84 × 45,573.84
  4. Step 4: Simplify right side
    77,402x = 4,868,418,166.19
  5. Step 5: Solve for x
    x = 4,868,418,166.19/77,402
  6. Step 6: Final answer
    x = 62,897.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.