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Finding the Fourth Proportional to 70,373.49, 105,567.15 and 20,454

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Solution

The fourth proportional to 70,373.49, 105,567.15 and 20,454 is: 30,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,373.49 : 105,567.15 = 20,454 : x
  2. Step 2: Convert to fraction form
    70,373.49/105,567.15 = 20,454/x
  3. Step 3: Cross multiply
    70,373.49x = 105,567.15 × 20,454
  4. Step 4: Simplify right side
    70,373.49x = 2,159,270,486.10
  5. Step 5: Solve for x
    x = 2,159,270,486.10/70,373.49
  6. Step 6: Final answer
    x = 30,683.01

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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.