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Finding the Fourth Proportional to 134,796, 186,018.48 and 75,180

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Solution

The fourth proportional to 134,796, 186,018.48 and 75,180 is: 103,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,796 : 186,018.48 = 75,180 : x
  2. Step 2: Convert to fraction form
    134,796/186,018.48 = 75,180/x
  3. Step 3: Cross multiply
    134,796x = 186,018.48 × 75,180
  4. Step 4: Simplify right side
    134,796x = 13,984,869,326.40
  5. Step 5: Solve for x
    x = 13,984,869,326.40/134,796
  6. Step 6: Final answer
    x = 103,748.40

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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.