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Finding the Fourth Proportional to 230,095.84, 345,158.64 and 72,330.40

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Solution

The fourth proportional to 230,095.84, 345,158.64 and 72,330.40 is: 108,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,095.84 : 345,158.64 = 72,330.40 : x
  2. Step 2: Convert to fraction form
    230,095.84/345,158.64 = 72,330.40/x
  3. Step 3: Cross multiply
    230,095.84x = 345,158.64 × 72,330.40
  4. Step 4: Simplify right side
    230,095.84x = 24,965,462,494.66
  5. Step 5: Solve for x
    x = 24,965,462,494.66/230,095.84
  6. Step 6: Final answer
    x = 108,500.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.