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Finding the Fourth Proportional to 47,641.68, 71,457.40 and 19,564.68

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Solution

The fourth proportional to 47,641.68, 71,457.40 and 19,564.68 is: 29,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.68 : 71,457.40 = 19,564.68 : x
  2. Step 2: Convert to fraction form
    47,641.68/71,457.40 = 19,564.68/x
  3. Step 3: Cross multiply
    47,641.68x = 71,457.40 × 19,564.68
  4. Step 4: Simplify right side
    47,641.68x = 1,398,041,164.63
  5. Step 5: Solve for x
    x = 1,398,041,164.63/47,641.68
  6. Step 6: Final answer
    x = 29,344.92

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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.