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Finding the Fourth Proportional to 57,838.60, 86,715.98 and 39,071.71

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Solution

The fourth proportional to 57,838.60, 86,715.98 and 39,071.71 is: 58,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838.60 : 86,715.98 = 39,071.71 : x
  2. Step 2: Convert to fraction form
    57,838.60/86,715.98 = 39,071.71/x
  3. Step 3: Cross multiply
    57,838.60x = 86,715.98 × 39,071.71
  4. Step 4: Simplify right side
    57,838.60x = 3,388,141,210.78
  5. Step 5: Solve for x
    x = 3,388,141,210.78/57,838.60
  6. Step 6: Final answer
    x = 58,579.24

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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.