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Finding the Fourth Proportional to 145,859.31, 218,701.40 and 57,006.95

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Solution

The fourth proportional to 145,859.31, 218,701.40 and 57,006.95 is: 85,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.31 : 218,701.40 = 57,006.95 : x
  2. Step 2: Convert to fraction form
    145,859.31/218,701.40 = 57,006.95/x
  3. Step 3: Cross multiply
    145,859.31x = 218,701.40 × 57,006.95
  4. Step 4: Simplify right side
    145,859.31x = 12,467,498,396.19
  5. Step 5: Solve for x
    x = 12,467,498,396.19/145,859.31
  6. Step 6: Final answer
    x = 85,476.19

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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.