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Finding the Fourth Proportional to 257,130.72, 385,707.42 and 79,641.36

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Solution

The fourth proportional to 257,130.72, 385,707.42 and 79,641.36 is: 119,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,130.72 : 385,707.42 = 79,641.36 : x
  2. Step 2: Convert to fraction form
    257,130.72/385,707.42 = 79,641.36/x
  3. Step 3: Cross multiply
    257,130.72x = 385,707.42 × 79,641.36
  4. Step 4: Simplify right side
    257,130.72x = 30,718,263,490.89
  5. Step 5: Solve for x
    x = 30,718,263,490.89/257,130.72
  6. Step 6: Final answer
    x = 119,465.55

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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.