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Finding the Fourth Proportional to 134,596, 185,746.32 and 74,983.84

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Solution

The fourth proportional to 134,596, 185,746.32 and 74,983.84 is: 103,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,596 : 185,746.32 = 74,983.84 : x
  2. Step 2: Convert to fraction form
    134,596/185,746.32 = 74,983.84/x
  3. Step 3: Cross multiply
    134,596x = 185,746.32 × 74,983.84
  4. Step 4: Simplify right side
    134,596x = 13,927,972,339.47
  5. Step 5: Solve for x
    x = 13,927,972,339.47/134,596
  6. Step 6: Final answer
    x = 103,479.84

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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.