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Finding the Fourth Proportional to 70,020.12, 105,070.14 and 25,641

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Solution

The fourth proportional to 70,020.12, 105,070.14 and 25,641 is: 38,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,020.12 : 105,070.14 = 25,641 : x
  2. Step 2: Convert to fraction form
    70,020.12/105,070.14 = 25,641/x
  3. Step 3: Cross multiply
    70,020.12x = 105,070.14 × 25,641
  4. Step 4: Simplify right side
    70,020.12x = 2,694,103,459.74
  5. Step 5: Solve for x
    x = 2,694,103,459.74/70,020.12
  6. Step 6: Final answer
    x = 38,476.13

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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.