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Finding the Fourth Proportional to 73,838.52, 101,905.70 and 42,012.41

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Solution

The fourth proportional to 73,838.52, 101,905.70 and 42,012.41 is: 57,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,838.52 : 101,905.70 = 42,012.41 : x
  2. Step 2: Convert to fraction form
    73,838.52/101,905.70 = 42,012.41/x
  3. Step 3: Cross multiply
    73,838.52x = 101,905.70 × 42,012.41
  4. Step 4: Simplify right side
    73,838.52x = 4,281,303,330.15
  5. Step 5: Solve for x
    x = 4,281,303,330.15/73,838.52
  6. Step 6: Final answer
    x = 57,981.98

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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.