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Finding the Fourth Proportional to 127,222.62, 175,572.70 and 70,634

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Solution

The fourth proportional to 127,222.62, 175,572.70 and 70,634 is: 97,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,222.62 : 175,572.70 = 70,634 : x
  2. Step 2: Convert to fraction form
    127,222.62/175,572.70 = 70,634/x
  3. Step 3: Cross multiply
    127,222.62x = 175,572.70 × 70,634
  4. Step 4: Simplify right side
    127,222.62x = 12,401,402,091.80
  5. Step 5: Solve for x
    x = 12,401,402,091.80/127,222.62
  6. Step 6: Final answer
    x = 97,477.96

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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.