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Finding the Fourth Proportional to 72,904.61, 109,387.13 and 34,934.65

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Solution

The fourth proportional to 72,904.61, 109,387.13 and 34,934.65 is: 52,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904.61 : 109,387.13 = 34,934.65 : x
  2. Step 2: Convert to fraction form
    72,904.61/109,387.13 = 34,934.65/x
  3. Step 3: Cross multiply
    72,904.61x = 109,387.13 × 34,934.65
  4. Step 4: Simplify right side
    72,904.61x = 3,821,400,652.91
  5. Step 5: Solve for x
    x = 3,821,400,652.91/72,904.61
  6. Step 6: Final answer
    x = 52,416.45

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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.