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Finding the Fourth Proportional to 144,544.83, 216,909.80 and 78,031.28

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Solution

The fourth proportional to 144,544.83, 216,909.80 and 78,031.28 is: 117,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,544.83 : 216,909.80 = 78,031.28 : x
  2. Step 2: Convert to fraction form
    144,544.83/216,909.80 = 78,031.28/x
  3. Step 3: Cross multiply
    144,544.83x = 216,909.80 × 78,031.28
  4. Step 4: Simplify right side
    144,544.83x = 16,925,749,338.54
  5. Step 5: Solve for x
    x = 16,925,749,338.54/144,544.83
  6. Step 6: Final answer
    x = 117,096.89

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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.