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Finding the Fourth Proportional to 171,687.68, 257,492.16 and 47,038.40

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Solution

The fourth proportional to 171,687.68, 257,492.16 and 47,038.40 is: 70,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,687.68 : 257,492.16 = 47,038.40 : x
  2. Step 2: Convert to fraction form
    171,687.68/257,492.16 = 47,038.40/x
  3. Step 3: Cross multiply
    171,687.68x = 257,492.16 × 47,038.40
  4. Step 4: Simplify right side
    171,687.68x = 12,112,019,218.94
  5. Step 5: Solve for x
    x = 12,112,019,218.94/171,687.68
  6. Step 6: Final answer
    x = 70,546.82

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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.