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Finding the Fourth Proportional to 172,824.30, 259,248.60 and 97,980.30

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Solution

The fourth proportional to 172,824.30, 259,248.60 and 97,980.30 is: 146,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,824.30 : 259,248.60 = 97,980.30 : x
  2. Step 2: Convert to fraction form
    172,824.30/259,248.60 = 97,980.30/x
  3. Step 3: Cross multiply
    172,824.30x = 259,248.60 × 97,980.30
  4. Step 4: Simplify right side
    172,824.30x = 25,401,255,602.58
  5. Step 5: Solve for x
    x = 25,401,255,602.58/172,824.30
  6. Step 6: Final answer
    x = 146,977.34

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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.