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Finding the Fourth Proportional to 70,259.14, 105,381.88 and 38,658.81

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Solution

The fourth proportional to 70,259.14, 105,381.88 and 38,658.81 is: 57,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,259.14 : 105,381.88 = 38,658.81 : x
  2. Step 2: Convert to fraction form
    70,259.14/105,381.88 = 38,658.81/x
  3. Step 3: Cross multiply
    70,259.14x = 105,381.88 × 38,658.81
  4. Step 4: Simplify right side
    70,259.14x = 4,073,938,374.90
  5. Step 5: Solve for x
    x = 4,073,938,374.90/70,259.14
  6. Step 6: Final answer
    x = 57,984.46

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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.