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Finding the Fourth Proportional to 105,740.71, 145,780.86 and 84,009.02

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Solution

The fourth proportional to 105,740.71, 145,780.86 and 84,009.02 is: 115,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740.71 : 145,780.86 = 84,009.02 : x
  2. Step 2: Convert to fraction form
    105,740.71/145,780.86 = 84,009.02/x
  3. Step 3: Cross multiply
    105,740.71x = 145,780.86 × 84,009.02
  4. Step 4: Simplify right side
    105,740.71x = 12,246,906,769.49
  5. Step 5: Solve for x
    x = 12,246,906,769.49/105,740.71
  6. Step 6: Final answer
    x = 115,820.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.