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Finding the Fourth Proportional to 152,148, 209,960.46 and 84,167.67

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Solution

The fourth proportional to 152,148, 209,960.46 and 84,167.67 is: 116,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,148 : 209,960.46 = 84,167.67 : x
  2. Step 2: Convert to fraction form
    152,148/209,960.46 = 84,167.67/x
  3. Step 3: Cross multiply
    152,148x = 209,960.46 × 84,167.67
  4. Step 4: Simplify right side
    152,148x = 17,671,882,710.33
  5. Step 5: Solve for x
    x = 17,671,882,710.33/152,148
  6. Step 6: Final answer
    x = 116,149.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.