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Finding the Fourth Proportional to 257,046.64, 385,570 and 70,085.68

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Solution

The fourth proportional to 257,046.64, 385,570 and 70,085.68 is: 105,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,046.64 : 385,570 = 70,085.68 : x
  2. Step 2: Convert to fraction form
    257,046.64/385,570 = 70,085.68/x
  3. Step 3: Cross multiply
    257,046.64x = 385,570 × 70,085.68
  4. Step 4: Simplify right side
    257,046.64x = 27,022,935,637.60
  5. Step 5: Solve for x
    x = 27,022,935,637.60/257,046.64
  6. Step 6: Final answer
    x = 105,128.53

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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.