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Finding the Fourth Proportional to 145,537.65, 218,315.70 and 45,701.78

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Solution

The fourth proportional to 145,537.65, 218,315.70 and 45,701.78 is: 68,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,537.65 : 218,315.70 = 45,701.78 : x
  2. Step 2: Convert to fraction form
    145,537.65/218,315.70 = 45,701.78/x
  3. Step 3: Cross multiply
    145,537.65x = 218,315.70 × 45,701.78
  4. Step 4: Simplify right side
    145,537.65x = 9,977,415,000.37
  5. Step 5: Solve for x
    x = 9,977,415,000.37/145,537.65
  6. Step 6: Final answer
    x = 68,555.56

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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.