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Finding the Fourth Proportional to 47,281.85, 70,931.16 and 15,693.80

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Solution

The fourth proportional to 47,281.85, 70,931.16 and 15,693.80 is: 23,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,281.85 : 70,931.16 = 15,693.80 : x
  2. Step 2: Convert to fraction form
    47,281.85/70,931.16 = 15,693.80/x
  3. Step 3: Cross multiply
    47,281.85x = 70,931.16 × 15,693.80
  4. Step 4: Simplify right side
    47,281.85x = 1,113,179,438.81
  5. Step 5: Solve for x
    x = 1,113,179,438.81/47,281.85
  6. Step 6: Final answer
    x = 23,543.48

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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.