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Finding the Fourth Proportional to 100,002.62, 138,038.34 and 57,578.06

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Solution

The fourth proportional to 100,002.62, 138,038.34 and 57,578.06 is: 79,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.62 : 138,038.34 = 57,578.06 : x
  2. Step 2: Convert to fraction form
    100,002.62/138,038.34 = 57,578.06/x
  3. Step 3: Cross multiply
    100,002.62x = 138,038.34 × 57,578.06
  4. Step 4: Simplify right side
    100,002.62x = 7,947,979,822.82
  5. Step 5: Solve for x
    x = 7,947,979,822.82/100,002.62
  6. Step 6: Final answer
    x = 79,477.72

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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.