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Finding the Fourth Proportional to 134,836, 186,073.76 and 75,220

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Solution

The fourth proportional to 134,836, 186,073.76 and 75,220 is: 103,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,836 : 186,073.76 = 75,220 : x
  2. Step 2: Convert to fraction form
    134,836/186,073.76 = 75,220/x
  3. Step 3: Cross multiply
    134,836x = 186,073.76 × 75,220
  4. Step 4: Simplify right side
    134,836x = 13,996,468,227.20
  5. Step 5: Solve for x
    x = 13,996,468,227.20/134,836
  6. Step 6: Final answer
    x = 103,803.64

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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.