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Finding the Fourth Proportional to 257,139.84, 385,958.54 and 124,113.76

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Solution

The fourth proportional to 257,139.84, 385,958.54 and 124,113.76 is: 186,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139.84 : 385,958.54 = 124,113.76 : x
  2. Step 2: Convert to fraction form
    257,139.84/385,958.54 = 124,113.76/x
  3. Step 3: Cross multiply
    257,139.84x = 385,958.54 × 124,113.76
  4. Step 4: Simplify right side
    257,139.84x = 47,902,765,603.51
  5. Step 5: Solve for x
    x = 47,902,765,603.51/257,139.84
  6. Step 6: Final answer
    x = 186,290.72

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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.