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Finding the Fourth Proportional to 118,964.90, 164,085.49 and 101,031.50

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Solution

The fourth proportional to 118,964.90, 164,085.49 and 101,031.50 is: 139,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964.90 : 164,085.49 = 101,031.50 : x
  2. Step 2: Convert to fraction form
    118,964.90/164,085.49 = 101,031.50/x
  3. Step 3: Cross multiply
    118,964.90x = 164,085.49 × 101,031.50
  4. Step 4: Simplify right side
    118,964.90x = 16,577,803,182.94
  5. Step 5: Solve for x
    x = 16,577,803,182.94/118,964.90
  6. Step 6: Final answer
    x = 139,350.37

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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.