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Finding the Fourth Proportional to 135,486, 186,970.32 and 75,056.76

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Solution

The fourth proportional to 135,486, 186,970.32 and 75,056.76 is: 103,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,486 : 186,970.32 = 75,056.76 : x
  2. Step 2: Convert to fraction form
    135,486/186,970.32 = 75,056.76/x
  3. Step 3: Cross multiply
    135,486x = 186,970.32 × 75,056.76
  4. Step 4: Simplify right side
    135,486x = 14,033,386,435.36
  5. Step 5: Solve for x
    x = 14,033,386,435.36/135,486
  6. Step 6: Final answer
    x = 103,578.13

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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.