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Finding the Fourth Proportional to 145,713.84, 218,513.28 and 70,811.82

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Solution

The fourth proportional to 145,713.84, 218,513.28 and 70,811.82 is: 106,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,713.84 : 218,513.28 = 70,811.82 : x
  2. Step 2: Convert to fraction form
    145,713.84/218,513.28 = 70,811.82/x
  3. Step 3: Cross multiply
    145,713.84x = 218,513.28 × 70,811.82
  4. Step 4: Simplify right side
    145,713.84x = 15,473,323,050.97
  5. Step 5: Solve for x
    x = 15,473,323,050.97/145,713.84
  6. Step 6: Final answer
    x = 106,189.80

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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.