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Finding the Fourth Proportional to 257,239.52, 385,886 and 70,251

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Solution

The fourth proportional to 257,239.52, 385,886 and 70,251 is: 105,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,239.52 : 385,886 = 70,251 : x
  2. Step 2: Convert to fraction form
    257,239.52/385,886 = 70,251/x
  3. Step 3: Cross multiply
    257,239.52x = 385,886 × 70,251
  4. Step 4: Simplify right side
    257,239.52x = 27,108,877,386
  5. Step 5: Solve for x
    x = 27,108,877,386/257,239.52
  6. Step 6: Final answer
    x = 105,383.80

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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.