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Finding the Fourth Proportional to 104,258.34, 143,876.82 and 56,511.89

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Solution

The fourth proportional to 104,258.34, 143,876.82 and 56,511.89 is: 77,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,258.34 : 143,876.82 = 56,511.89 : x
  2. Step 2: Convert to fraction form
    104,258.34/143,876.82 = 56,511.89/x
  3. Step 3: Cross multiply
    104,258.34x = 143,876.82 × 56,511.89
  4. Step 4: Simplify right side
    104,258.34x = 8,130,750,306.01
  5. Step 5: Solve for x
    x = 8,130,750,306.01/104,258.34
  6. Step 6: Final answer
    x = 77,986.57

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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.