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Finding the Fourth Proportional to 114,442.70, 171,664.05 and 77,117.90

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Solution

The fourth proportional to 114,442.70, 171,664.05 and 77,117.90 is: 115,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,442.70 : 171,664.05 = 77,117.90 : x
  2. Step 2: Convert to fraction form
    114,442.70/171,664.05 = 77,117.90/x
  3. Step 3: Cross multiply
    114,442.70x = 171,664.05 × 77,117.90
  4. Step 4: Simplify right side
    114,442.70x = 13,238,371,041.50
  5. Step 5: Solve for x
    x = 13,238,371,041.50/114,442.70
  6. Step 6: Final answer
    x = 115,676.85

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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.