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Finding the Fourth Proportional to 103,806.19, 143,252.53 and 56,059.53

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Solution

The fourth proportional to 103,806.19, 143,252.53 and 56,059.53 is: 77,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.19 : 143,252.53 = 56,059.53 : x
  2. Step 2: Convert to fraction form
    103,806.19/143,252.53 = 56,059.53/x
  3. Step 3: Cross multiply
    103,806.19x = 143,252.53 × 56,059.53
  4. Step 4: Simplify right side
    103,806.19x = 8,030,669,503.11
  5. Step 5: Solve for x
    x = 8,030,669,503.11/103,806.19
  6. Step 6: Final answer
    x = 77,362.14

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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.