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Finding the Fourth Proportional to 103,956.44, 143,459.98 and 56,209.82

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Solution

The fourth proportional to 103,956.44, 143,459.98 and 56,209.82 is: 77,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.44 : 143,459.98 = 56,209.82 : x
  2. Step 2: Convert to fraction form
    103,956.44/143,459.98 = 56,209.82/x
  3. Step 3: Cross multiply
    103,956.44x = 143,459.98 × 56,209.82
  4. Step 4: Simplify right side
    103,956.44x = 8,063,859,653.00
  5. Step 5: Solve for x
    x = 8,063,859,653.00/103,956.44
  6. Step 6: Final answer
    x = 77,569.60

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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.