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Finding the Fourth Proportional to 70,425.68, 105,638.70 and 17,835.17

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Solution

The fourth proportional to 70,425.68, 105,638.70 and 17,835.17 is: 26,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425.68 : 105,638.70 = 17,835.17 : x
  2. Step 2: Convert to fraction form
    70,425.68/105,638.70 = 17,835.17/x
  3. Step 3: Cross multiply
    70,425.68x = 105,638.70 × 17,835.17
  4. Step 4: Simplify right side
    70,425.68x = 1,884,084,173.08
  5. Step 5: Solve for x
    x = 1,884,084,173.08/70,425.68
  6. Step 6: Final answer
    x = 26,752.80

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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.