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Finding the Fourth Proportional to 153,323.21, 230,031.93 and 78,495.89

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Solution

The fourth proportional to 153,323.21, 230,031.93 and 78,495.89 is: 117,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,323.21 : 230,031.93 = 78,495.89 : x
  2. Step 2: Convert to fraction form
    153,323.21/230,031.93 = 78,495.89/x
  3. Step 3: Cross multiply
    153,323.21x = 230,031.93 × 78,495.89
  4. Step 4: Simplify right side
    153,323.21x = 18,056,560,217.97
  5. Step 5: Solve for x
    x = 18,056,560,217.97/153,323.21
  6. Step 6: Final answer
    x = 117,767.95

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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.