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Finding the Fourth Proportional to 103,646.72, 155,546.94 and 77,054.24

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Solution

The fourth proportional to 103,646.72, 155,546.94 and 77,054.24 is: 115,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.72 : 155,546.94 = 77,054.24 : x
  2. Step 2: Convert to fraction form
    103,646.72/155,546.94 = 77,054.24/x
  3. Step 3: Cross multiply
    103,646.72x = 155,546.94 × 77,054.24
  4. Step 4: Simplify right side
    103,646.72x = 11,985,551,246.03
  5. Step 5: Solve for x
    x = 11,985,551,246.03/103,646.72
  6. Step 6: Final answer
    x = 115,638.50

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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.