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Finding the Fourth Proportional to 73,985, 102,099.30 and 40,451

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Solution

The fourth proportional to 73,985, 102,099.30 and 40,451 is: 55,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985 : 102,099.30 = 40,451 : x
  2. Step 2: Convert to fraction form
    73,985/102,099.30 = 40,451/x
  3. Step 3: Cross multiply
    73,985x = 102,099.30 × 40,451
  4. Step 4: Simplify right side
    73,985x = 4,130,018,784.30
  5. Step 5: Solve for x
    x = 4,130,018,784.30/73,985
  6. Step 6: Final answer
    x = 55,822.38

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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.