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Finding the Fourth Proportional to 103,730.84, 143,123.28 and 58,400

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Solution

The fourth proportional to 103,730.84, 143,123.28 and 58,400 is: 80,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,730.84 : 143,123.28 = 58,400 : x
  2. Step 2: Convert to fraction form
    103,730.84/143,123.28 = 58,400/x
  3. Step 3: Cross multiply
    103,730.84x = 143,123.28 × 58,400
  4. Step 4: Simplify right side
    103,730.84x = 8,358,399,552
  5. Step 5: Solve for x
    x = 8,358,399,552/103,730.84
  6. Step 6: Final answer
    x = 80,577.77

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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.