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Finding the Fourth Proportional to 103,647.88, 143,071.01 and 61,206.58

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Solution

The fourth proportional to 103,647.88, 143,071.01 and 61,206.58 is: 84,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,647.88 : 143,071.01 = 61,206.58 : x
  2. Step 2: Convert to fraction form
    103,647.88/143,071.01 = 61,206.58/x
  3. Step 3: Cross multiply
    103,647.88x = 143,071.01 × 61,206.58
  4. Step 4: Simplify right side
    103,647.88x = 8,756,887,219.25
  5. Step 5: Solve for x
    x = 8,756,887,219.25/103,647.88
  6. Step 6: Final answer
    x = 84,486.89

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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.