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Finding the Fourth Proportional to 293,130, 439,695.36 and 71,514

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Solution

The fourth proportional to 293,130, 439,695.36 and 71,514 is: 107,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,130 : 439,695.36 = 71,514 : x
  2. Step 2: Convert to fraction form
    293,130/439,695.36 = 71,514/x
  3. Step 3: Cross multiply
    293,130x = 439,695.36 × 71,514
  4. Step 4: Simplify right side
    293,130x = 31,444,373,975.04
  5. Step 5: Solve for x
    x = 31,444,373,975.04/293,130
  6. Step 6: Final answer
    x = 107,271.09

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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.