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Finding the Fourth Proportional to 47,567.59, 71,345.70 and 12,509.98

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Solution

The fourth proportional to 47,567.59, 71,345.70 and 12,509.98 is: 18,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,567.59 : 71,345.70 = 12,509.98 : x
  2. Step 2: Convert to fraction form
    47,567.59/71,345.70 = 12,509.98/x
  3. Step 3: Cross multiply
    47,567.59x = 71,345.70 × 12,509.98
  4. Step 4: Simplify right side
    47,567.59x = 892,533,280.09
  5. Step 5: Solve for x
    x = 892,533,280.09/47,567.59
  6. Step 6: Final answer
    x = 18,763.47

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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.