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Finding the Fourth Proportional to 70,838.25, 97,756.79 and 39,007.07

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Solution

The fourth proportional to 70,838.25, 97,756.79 and 39,007.07 is: 53,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.25 : 97,756.79 = 39,007.07 : x
  2. Step 2: Convert to fraction form
    70,838.25/97,756.79 = 39,007.07/x
  3. Step 3: Cross multiply
    70,838.25x = 97,756.79 × 39,007.07
  4. Step 4: Simplify right side
    70,838.25x = 3,813,205,999.86
  5. Step 5: Solve for x
    x = 3,813,205,999.86/70,838.25
  6. Step 6: Final answer
    x = 53,829.76

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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.