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Finding the Fourth Proportional to 145,782.80, 218,609.40 and 57,006.80

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Solution

The fourth proportional to 145,782.80, 218,609.40 and 57,006.80 is: 85,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,782.80 : 218,609.40 = 57,006.80 : x
  2. Step 2: Convert to fraction form
    145,782.80/218,609.40 = 57,006.80/x
  3. Step 3: Cross multiply
    145,782.80x = 218,609.40 × 57,006.80
  4. Step 4: Simplify right side
    145,782.80x = 12,462,222,343.92
  5. Step 5: Solve for x
    x = 12,462,222,343.92/145,782.80
  6. Step 6: Final answer
    x = 85,484.86

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1.5x scale

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.