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Finding the Fourth Proportional to 47,931.95, 71,898.03 and 30,364.88

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Solution

The fourth proportional to 47,931.95, 71,898.03 and 30,364.88 is: 45,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931.95 : 71,898.03 = 30,364.88 : x
  2. Step 2: Convert to fraction form
    47,931.95/71,898.03 = 30,364.88/x
  3. Step 3: Cross multiply
    47,931.95x = 71,898.03 × 30,364.88
  4. Step 4: Simplify right side
    47,931.95x = 2,183,174,693.70
  5. Step 5: Solve for x
    x = 2,183,174,693.70/47,931.95
  6. Step 6: Final answer
    x = 45,547.38

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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.