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Finding the Fourth Proportional to 257,139.84, 385,707.60 and 70,151.52

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Solution

The fourth proportional to 257,139.84, 385,707.60 and 70,151.52 is: 105,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139.84 : 385,707.60 = 70,151.52 : x
  2. Step 2: Convert to fraction form
    257,139.84/385,707.60 = 70,151.52/x
  3. Step 3: Cross multiply
    257,139.84x = 385,707.60 × 70,151.52
  4. Step 4: Simplify right side
    257,139.84x = 27,057,974,415.55
  5. Step 5: Solve for x
    x = 27,057,974,415.55/257,139.84
  6. Step 6: Final answer
    x = 105,226.69

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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.