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Finding the Fourth Proportional to 172,029.60, 257,698.80 and 98,071.20

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Solution

The fourth proportional to 172,029.60, 257,698.80 and 98,071.20 is: 146,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,029.60 : 257,698.80 = 98,071.20 : x
  2. Step 2: Convert to fraction form
    172,029.60/257,698.80 = 98,071.20/x
  3. Step 3: Cross multiply
    172,029.60x = 257,698.80 × 98,071.20
  4. Step 4: Simplify right side
    172,029.60x = 25,272,830,554.56
  5. Step 5: Solve for x
    x = 25,272,830,554.56/172,029.60
  6. Step 6: Final answer
    x = 146,909.78

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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.