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Finding the Fourth Proportional to 117,702.56, 176,498.38 and 42,770

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Solution

The fourth proportional to 117,702.56, 176,498.38 and 42,770 is: 64,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.56 : 176,498.38 = 42,770 : x
  2. Step 2: Convert to fraction form
    117,702.56/176,498.38 = 42,770/x
  3. Step 3: Cross multiply
    117,702.56x = 176,498.38 × 42,770
  4. Step 4: Simplify right side
    117,702.56x = 7,548,835,712.60
  5. Step 5: Solve for x
    x = 7,548,835,712.60/117,702.56
  6. Step 6: Final answer
    x = 64,134.85

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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.