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Finding the Fourth Proportional to 145,866.80, 218,780.76 and 40,676.96

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Solution

The fourth proportional to 145,866.80, 218,780.76 and 40,676.96 is: 61,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.80 : 218,780.76 = 40,676.96 : x
  2. Step 2: Convert to fraction form
    145,866.80/218,780.76 = 40,676.96/x
  3. Step 3: Cross multiply
    145,866.80x = 218,780.76 × 40,676.96
  4. Step 4: Simplify right side
    145,866.80x = 8,899,336,223.29
  5. Step 5: Solve for x
    x = 8,899,336,223.29/145,866.80
  6. Step 6: Final answer
    x = 61,010.02

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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.