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Finding the Fourth Proportional to 78,289.66, 108,038.34 and 47,651.68

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Solution

The fourth proportional to 78,289.66, 108,038.34 and 47,651.68 is: 65,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,289.66 : 108,038.34 = 47,651.68 : x
  2. Step 2: Convert to fraction form
    78,289.66/108,038.34 = 47,651.68/x
  3. Step 3: Cross multiply
    78,289.66x = 108,038.34 × 47,651.68
  4. Step 4: Simplify right side
    78,289.66x = 5,148,208,405.41
  5. Step 5: Solve for x
    x = 5,148,208,405.41/78,289.66
  6. Step 6: Final answer
    x = 65,758.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.