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Finding the Fourth Proportional to 117,408.63, 176,036.37 and 77,306.28

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Solution

The fourth proportional to 117,408.63, 176,036.37 and 77,306.28 is: 115,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,408.63 : 176,036.37 = 77,306.28 : x
  2. Step 2: Convert to fraction form
    117,408.63/176,036.37 = 77,306.28/x
  3. Step 3: Cross multiply
    117,408.63x = 176,036.37 × 77,306.28
  4. Step 4: Simplify right side
    117,408.63x = 13,608,716,909.40
  5. Step 5: Solve for x
    x = 13,608,716,909.40/117,408.63
  6. Step 6: Final answer
    x = 115,909.00

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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.