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Finding the Fourth Proportional to 115,678, 173,318.72 and 77,656.08

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Solution

The fourth proportional to 115,678, 173,318.72 and 77,656.08 is: 116,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,678 : 173,318.72 = 77,656.08 : x
  2. Step 2: Convert to fraction form
    115,678/173,318.72 = 77,656.08/x
  3. Step 3: Cross multiply
    115,678x = 173,318.72 × 77,656.08
  4. Step 4: Simplify right side
    115,678x = 13,459,252,385.82
  5. Step 5: Solve for x
    x = 13,459,252,385.82/115,678
  6. Step 6: Final answer
    x = 116,351.01

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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.