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Finding the Fourth Proportional to 154,492.84, 231,727.76 and 47,877.64

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Solution

The fourth proportional to 154,492.84, 231,727.76 and 47,877.64 is: 71,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.84 : 231,727.76 = 47,877.64 : x
  2. Step 2: Convert to fraction form
    154,492.84/231,727.76 = 47,877.64/x
  3. Step 3: Cross multiply
    154,492.84x = 231,727.76 × 47,877.64
  4. Step 4: Simplify right side
    154,492.84x = 11,094,578,271.29
  5. Step 5: Solve for x
    x = 11,094,578,271.29/154,492.84
  6. Step 6: Final answer
    x = 71,812.90

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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.