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Finding the Fourth Proportional to 130,465.64, 180,043.30 and 76,752.68

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Solution

The fourth proportional to 130,465.64, 180,043.30 and 76,752.68 is: 105,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.64 : 180,043.30 = 76,752.68 : x
  2. Step 2: Convert to fraction form
    130,465.64/180,043.30 = 76,752.68/x
  3. Step 3: Cross multiply
    130,465.64x = 180,043.30 × 76,752.68
  4. Step 4: Simplify right side
    130,465.64x = 13,818,805,791.04
  5. Step 5: Solve for x
    x = 13,818,805,791.04/130,465.64
  6. Step 6: Final answer
    x = 105,919.12

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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.