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Finding the Fourth Proportional to 73,031.40, 100,774.14 and 42,809.76

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Solution

The fourth proportional to 73,031.40, 100,774.14 and 42,809.76 is: 59,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,031.40 : 100,774.14 = 42,809.76 : x
  2. Step 2: Convert to fraction form
    73,031.40/100,774.14 = 42,809.76/x
  3. Step 3: Cross multiply
    73,031.40x = 100,774.14 × 42,809.76
  4. Step 4: Simplify right side
    73,031.40x = 4,314,116,747.61
  5. Step 5: Solve for x
    x = 4,314,116,747.61/73,031.40
  6. Step 6: Final answer
    x = 59,072.08

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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.