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Finding the Fourth Proportional to 210,509.43, 315,988.88 and 90,625.70

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Solution

The fourth proportional to 210,509.43, 315,988.88 and 90,625.70 is: 136,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,509.43 : 315,988.88 = 90,625.70 : x
  2. Step 2: Convert to fraction form
    210,509.43/315,988.88 = 90,625.70/x
  3. Step 3: Cross multiply
    210,509.43x = 315,988.88 × 90,625.70
  4. Step 4: Simplify right side
    210,509.43x = 28,636,711,409.14
  5. Step 5: Solve for x
    x = 28,636,711,409.14/210,509.43
  6. Step 6: Final answer
    x = 136,035.29

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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.