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Finding the Fourth Proportional to 71,423.64, 107,142.56 and 26,457.02

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Solution

The fourth proportional to 71,423.64, 107,142.56 and 26,457.02 is: 39,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,423.64 : 107,142.56 = 26,457.02 : x
  2. Step 2: Convert to fraction form
    71,423.64/107,142.56 = 26,457.02/x
  3. Step 3: Cross multiply
    71,423.64x = 107,142.56 × 26,457.02
  4. Step 4: Simplify right side
    71,423.64x = 2,834,672,852.77
  5. Step 5: Solve for x
    x = 2,834,672,852.77/71,423.64
  6. Step 6: Final answer
    x = 39,688.16

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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.