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Finding the Fourth Proportional to 343,855.32, 515,758.56 and 91,130.19

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Solution

The fourth proportional to 343,855.32, 515,758.56 and 91,130.19 is: 136,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,855.32 : 515,758.56 = 91,130.19 : x
  2. Step 2: Convert to fraction form
    343,855.32/515,758.56 = 91,130.19/x
  3. Step 3: Cross multiply
    343,855.32x = 515,758.56 × 91,130.19
  4. Step 4: Simplify right side
    343,855.32x = 47,001,175,566.93
  5. Step 5: Solve for x
    x = 47,001,175,566.93/343,855.32
  6. Step 6: Final answer
    x = 136,688.81

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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.