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Finding the Fourth Proportional to 78,875.71, 118,313.87 and 19,711.44

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Solution

The fourth proportional to 78,875.71, 118,313.87 and 19,711.44 is: 29,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,875.71 : 118,313.87 = 19,711.44 : x
  2. Step 2: Convert to fraction form
    78,875.71/118,313.87 = 19,711.44/x
  3. Step 3: Cross multiply
    78,875.71x = 118,313.87 × 19,711.44
  4. Step 4: Simplify right side
    78,875.71x = 2,332,136,749.67
  5. Step 5: Solve for x
    x = 2,332,136,749.67/78,875.71
  6. Step 6: Final answer
    x = 29,567.24

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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.