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Finding the Fourth Proportional to 172,869.40, 259,304.10 and 152,133.40

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Solution

The fourth proportional to 172,869.40, 259,304.10 and 152,133.40 is: 228,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,869.40 : 259,304.10 = 152,133.40 : x
  2. Step 2: Convert to fraction form
    172,869.40/259,304.10 = 152,133.40/x
  3. Step 3: Cross multiply
    172,869.40x = 259,304.10 × 152,133.40
  4. Step 4: Simplify right side
    172,869.40x = 39,448,814,366.94
  5. Step 5: Solve for x
    x = 39,448,814,366.94/172,869.40
  6. Step 6: Final answer
    x = 228,200.10

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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.