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Finding the Fourth Proportional to 172,869.30, 259,303.95 and 130,878.90

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Solution

The fourth proportional to 172,869.30, 259,303.95 and 130,878.90 is: 196,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,869.30 : 259,303.95 = 130,878.90 : x
  2. Step 2: Convert to fraction form
    172,869.30/259,303.95 = 130,878.90/x
  3. Step 3: Cross multiply
    172,869.30x = 259,303.95 × 130,878.90
  4. Step 4: Simplify right side
    172,869.30x = 33,937,415,741.66
  5. Step 5: Solve for x
    x = 33,937,415,741.66/172,869.30
  6. Step 6: Final answer
    x = 196,318.35

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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.