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Finding the Fourth Proportional to 172,002.70, 258,004.05 and 100,852.30

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Solution

The fourth proportional to 172,002.70, 258,004.05 and 100,852.30 is: 151,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002.70 : 258,004.05 = 100,852.30 : x
  2. Step 2: Convert to fraction form
    172,002.70/258,004.05 = 100,852.30/x
  3. Step 3: Cross multiply
    172,002.70x = 258,004.05 × 100,852.30
  4. Step 4: Simplify right side
    172,002.70x = 26,020,301,851.82
  5. Step 5: Solve for x
    x = 26,020,301,851.82/172,002.70
  6. Step 6: Final answer
    x = 151,278.45

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1.5x scale

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.