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Finding the Fourth Proportional to 138,959.34, 208,335.33 and 65,070.06

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Solution

The fourth proportional to 138,959.34, 208,335.33 and 65,070.06 is: 97,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.34 : 208,335.33 = 65,070.06 : x
  2. Step 2: Convert to fraction form
    138,959.34/208,335.33 = 65,070.06/x
  3. Step 3: Cross multiply
    138,959.34x = 208,335.33 × 65,070.06
  4. Step 4: Simplify right side
    138,959.34x = 13,556,392,423.22
  5. Step 5: Solve for x
    x = 13,556,392,423.22/138,959.34
  6. Step 6: Final answer
    x = 97,556.54

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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.