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Finding the Fourth Proportional to 118,770, 163,897.80 and 71,049.72

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Solution

The fourth proportional to 118,770, 163,897.80 and 71,049.72 is: 98,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,770 : 163,897.80 = 71,049.72 : x
  2. Step 2: Convert to fraction form
    118,770/163,897.80 = 71,049.72/x
  3. Step 3: Cross multiply
    118,770x = 163,897.80 × 71,049.72
  4. Step 4: Simplify right side
    118,770x = 11,644,892,798.62
  5. Step 5: Solve for x
    x = 11,644,892,798.62/118,770
  6. Step 6: Final answer
    x = 98,045.74

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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.