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Finding the Fourth Proportional to 145,659.84, 218,497.44 and 83,390.40

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Solution

The fourth proportional to 145,659.84, 218,497.44 and 83,390.40 is: 125,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,659.84 : 218,497.44 = 83,390.40 : x
  2. Step 2: Convert to fraction form
    145,659.84/218,497.44 = 83,390.40/x
  3. Step 3: Cross multiply
    145,659.84x = 218,497.44 × 83,390.40
  4. Step 4: Simplify right side
    145,659.84x = 18,220,588,920.58
  5. Step 5: Solve for x
    x = 18,220,588,920.58/145,659.84
  6. Step 6: Final answer
    x = 125,090.00

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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.