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Finding the Fourth Proportional to 47,038.69, 70,576.40 and 20,724.90

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Solution

The fourth proportional to 47,038.69, 70,576.40 and 20,724.90 is: 31,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,038.69 : 70,576.40 = 20,724.90 : x
  2. Step 2: Convert to fraction form
    47,038.69/70,576.40 = 20,724.90/x
  3. Step 3: Cross multiply
    47,038.69x = 70,576.40 × 20,724.90
  4. Step 4: Simplify right side
    47,038.69x = 1,462,688,832.36
  5. Step 5: Solve for x
    x = 1,462,688,832.36/47,038.69
  6. Step 6: Final answer
    x = 31,095.44

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1.5x scale

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.