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Finding the Fourth Proportional to 172,897.12, 238,604.70 and 97,444

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Solution

The fourth proportional to 172,897.12, 238,604.70 and 97,444 is: 134,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,897.12 : 238,604.70 = 97,444 : x
  2. Step 2: Convert to fraction form
    172,897.12/238,604.70 = 97,444/x
  3. Step 3: Cross multiply
    172,897.12x = 238,604.70 × 97,444
  4. Step 4: Simplify right side
    172,897.12x = 23,250,596,386.80
  5. Step 5: Solve for x
    x = 23,250,596,386.80/172,897.12
  6. Step 6: Final answer
    x = 134,476.48

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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.