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Finding the Fourth Proportional to 103,758.40, 143,180.72 and 61,320.88

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Solution

The fourth proportional to 103,758.40, 143,180.72 and 61,320.88 is: 84,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,758.40 : 143,180.72 = 61,320.88 : x
  2. Step 2: Convert to fraction form
    103,758.40/143,180.72 = 61,320.88/x
  3. Step 3: Cross multiply
    103,758.40x = 143,180.72 × 61,320.88
  4. Step 4: Simplify right side
    103,758.40x = 8,779,967,749.43
  5. Step 5: Solve for x
    x = 8,779,967,749.43/103,758.40
  6. Step 6: Final answer
    x = 84,619.34

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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.