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Finding the Fourth Proportional to 135,395.98, 186,852.29 and 74,966.63

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Solution

The fourth proportional to 135,395.98, 186,852.29 and 74,966.63 is: 103,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,395.98 : 186,852.29 = 74,966.63 : x
  2. Step 2: Convert to fraction form
    135,395.98/186,852.29 = 74,966.63/x
  3. Step 3: Cross multiply
    135,395.98x = 186,852.29 × 74,966.63
  4. Step 4: Simplify right side
    135,395.98x = 14,007,685,811.46
  5. Step 5: Solve for x
    x = 14,007,685,811.46/135,395.98
  6. Step 6: Final answer
    x = 103,457.18

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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.