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Finding the Fourth Proportional to 106,747.40, 147,303.14 and 61,427.90

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Solution

The fourth proportional to 106,747.40, 147,303.14 and 61,427.90 is: 84,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,747.40 : 147,303.14 = 61,427.90 : x
  2. Step 2: Convert to fraction form
    106,747.40/147,303.14 = 61,427.90/x
  3. Step 3: Cross multiply
    106,747.40x = 147,303.14 × 61,427.90
  4. Step 4: Simplify right side
    106,747.40x = 9,048,522,553.61
  5. Step 5: Solve for x
    x = 9,048,522,553.61/106,747.40
  6. Step 6: Final answer
    x = 84,765.74

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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.