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Finding the Fourth Proportional to 130,320, 179,841.78 and 73,730.16

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Solution

The fourth proportional to 130,320, 179,841.78 and 73,730.16 is: 101,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,320 : 179,841.78 = 73,730.16 : x
  2. Step 2: Convert to fraction form
    130,320/179,841.78 = 73,730.16/x
  3. Step 3: Cross multiply
    130,320x = 179,841.78 × 73,730.16
  4. Step 4: Simplify right side
    130,320x = 13,259,763,214.08
  5. Step 5: Solve for x
    x = 13,259,763,214.08/130,320
  6. Step 6: Final answer
    x = 101,747.72

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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.