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Finding the Fourth Proportional to 103,963.62, 155,866.14 and 86,139.58

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Solution

The fourth proportional to 103,963.62, 155,866.14 and 86,139.58 is: 129,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.62 : 155,866.14 = 86,139.58 : x
  2. Step 2: Convert to fraction form
    103,963.62/155,866.14 = 86,139.58/x
  3. Step 3: Cross multiply
    103,963.62x = 155,866.14 × 86,139.58
  4. Step 4: Simplify right side
    103,963.62x = 13,426,243,835.82
  5. Step 5: Solve for x
    x = 13,426,243,835.82/103,963.62
  6. Step 6: Final answer
    x = 129,143.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.