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Finding the Fourth Proportional to 73,985.99, 102,103.01 and 42,156.93

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Solution

The fourth proportional to 73,985.99, 102,103.01 and 42,156.93 is: 58,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985.99 : 102,103.01 = 42,156.93 : x
  2. Step 2: Convert to fraction form
    73,985.99/102,103.01 = 42,156.93/x
  3. Step 3: Cross multiply
    73,985.99x = 102,103.01 × 42,156.93
  4. Step 4: Simplify right side
    73,985.99x = 4,304,349,234.57
  5. Step 5: Solve for x
    x = 4,304,349,234.57/73,985.99
  6. Step 6: Final answer
    x = 58,177.90

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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.