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Finding the Fourth Proportional to 117,000.34, 161,460 and 63,285.49

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Solution

The fourth proportional to 117,000.34, 161,460 and 63,285.49 is: 87,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,000.34 : 161,460 = 63,285.49 : x
  2. Step 2: Convert to fraction form
    117,000.34/161,460 = 63,285.49/x
  3. Step 3: Cross multiply
    117,000.34x = 161,460 × 63,285.49
  4. Step 4: Simplify right side
    117,000.34x = 10,218,075,215.40
  5. Step 5: Solve for x
    x = 10,218,075,215.40/117,000.34
  6. Step 6: Final answer
    x = 87,333.72

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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.