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Finding the Fourth Proportional to 342,043.04, 513,131.76 and 105,345.44

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Solution

The fourth proportional to 342,043.04, 513,131.76 and 105,345.44 is: 158,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,043.04 : 513,131.76 = 105,345.44 : x
  2. Step 2: Convert to fraction form
    342,043.04/513,131.76 = 105,345.44/x
  3. Step 3: Cross multiply
    342,043.04x = 513,131.76 × 105,345.44
  4. Step 4: Simplify right side
    342,043.04x = 54,056,091,035.17
  5. Step 5: Solve for x
    x = 54,056,091,035.17/342,043.04
  6. Step 6: Final answer
    x = 158,038.86

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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.