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Finding the Fourth Proportional to 135,412.64, 186,875.34 and 74,983.28

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Solution

The fourth proportional to 135,412.64, 186,875.34 and 74,983.28 is: 103,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,412.64 : 186,875.34 = 74,983.28 : x
  2. Step 2: Convert to fraction form
    135,412.64/186,875.34 = 74,983.28/x
  3. Step 3: Cross multiply
    135,412.64x = 186,875.34 × 74,983.28
  4. Step 4: Simplify right side
    135,412.64x = 14,012,525,944.32
  5. Step 5: Solve for x
    x = 14,012,525,944.32/135,412.64
  6. Step 6: Final answer
    x = 103,480.19

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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.