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Finding the Fourth Proportional to 137,419.95, 206,124.53 and 57,437.26

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Solution

The fourth proportional to 137,419.95, 206,124.53 and 57,437.26 is: 86,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,419.95 : 206,124.53 = 57,437.26 : x
  2. Step 2: Convert to fraction form
    137,419.95/206,124.53 = 57,437.26/x
  3. Step 3: Cross multiply
    137,419.95x = 206,124.53 × 57,437.26
  4. Step 4: Simplify right side
    137,419.95x = 11,839,228,564.61
  5. Step 5: Solve for x
    x = 11,839,228,564.61/137,419.95
  6. Step 6: Final answer
    x = 86,153.64

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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.