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Finding the Fourth Proportional to 70,894.40, 97,834.56 and 39,061.76

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Solution

The fourth proportional to 70,894.40, 97,834.56 and 39,061.76 is: 53,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.40 : 97,834.56 = 39,061.76 : x
  2. Step 2: Convert to fraction form
    70,894.40/97,834.56 = 39,061.76/x
  3. Step 3: Cross multiply
    70,894.40x = 97,834.56 × 39,061.76
  4. Step 4: Simplify right side
    70,894.40x = 3,821,590,102.43
  5. Step 5: Solve for x
    x = 3,821,590,102.43/70,894.40
  6. Step 6: Final answer
    x = 53,905.39

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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.