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Finding the Fourth Proportional to 315,393.12, 473,089.68 and 78,735.42

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Solution

The fourth proportional to 315,393.12, 473,089.68 and 78,735.42 is: 118,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,393.12 : 473,089.68 = 78,735.42 : x
  2. Step 2: Convert to fraction form
    315,393.12/473,089.68 = 78,735.42/x
  3. Step 3: Cross multiply
    315,393.12x = 473,089.68 × 78,735.42
  4. Step 4: Simplify right side
    315,393.12x = 37,248,914,652.47
  5. Step 5: Solve for x
    x = 37,248,914,652.47/315,393.12
  6. Step 6: Final answer
    x = 118,103.13

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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.