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Finding the Fourth Proportional to 213,248.96, 319,523.32 and 72,931.04

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Solution

The fourth proportional to 213,248.96, 319,523.32 and 72,931.04 is: 109,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,248.96 : 319,523.32 = 72,931.04 : x
  2. Step 2: Convert to fraction form
    213,248.96/319,523.32 = 72,931.04/x
  3. Step 3: Cross multiply
    213,248.96x = 319,523.32 × 72,931.04
  4. Step 4: Simplify right side
    213,248.96x = 23,303,168,031.85
  5. Step 5: Solve for x
    x = 23,303,168,031.85/213,248.96
  6. Step 6: Final answer
    x = 109,276.82

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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.