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Finding the Fourth Proportional to 57,672.40, 86,435.70 and 42,071.80

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Solution

The fourth proportional to 57,672.40, 86,435.70 and 42,071.80 is: 63,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672.40 : 86,435.70 = 42,071.80 : x
  2. Step 2: Convert to fraction form
    57,672.40/86,435.70 = 42,071.80/x
  3. Step 3: Cross multiply
    57,672.40x = 86,435.70 × 42,071.80
  4. Step 4: Simplify right side
    57,672.40x = 3,636,505,483.26
  5. Step 5: Solve for x
    x = 3,636,505,483.26/57,672.40
  6. Step 6: Final answer
    x = 63,054.52

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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.