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Finding the Fourth Proportional to 106,368, 159,559.68 and 40,704

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Solution

The fourth proportional to 106,368, 159,559.68 and 40,704 is: 61,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,368 : 159,559.68 = 40,704 : x
  2. Step 2: Convert to fraction form
    106,368/159,559.68 = 40,704/x
  3. Step 3: Cross multiply
    106,368x = 159,559.68 × 40,704
  4. Step 4: Simplify right side
    106,368x = 6,494,717,214.72
  5. Step 5: Solve for x
    x = 6,494,717,214.72/106,368
  6. Step 6: Final answer
    x = 61,058.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.