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Finding the Fourth Proportional to 154,056.30, 230,890.05 and 75,000.30

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Solution

The fourth proportional to 154,056.30, 230,890.05 and 75,000.30 is: 112,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,056.30 : 230,890.05 = 75,000.30 : x
  2. Step 2: Convert to fraction form
    154,056.30/230,890.05 = 75,000.30/x
  3. Step 3: Cross multiply
    154,056.30x = 230,890.05 × 75,000.30
  4. Step 4: Simplify right side
    154,056.30x = 17,316,823,017.02
  5. Step 5: Solve for x
    x = 17,316,823,017.02/154,056.30
  6. Step 6: Final answer
    x = 112,405.81

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1.5x scale

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.