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Finding the Fourth Proportional to 130,228.47, 179,738.31 and 76,513.47

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Solution

The fourth proportional to 130,228.47, 179,738.31 and 76,513.47 is: 105,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,228.47 : 179,738.31 = 76,513.47 : x
  2. Step 2: Convert to fraction form
    130,228.47/179,738.31 = 76,513.47/x
  3. Step 3: Cross multiply
    130,228.47x = 179,738.31 × 76,513.47
  4. Step 4: Simplify right side
    130,228.47x = 13,752,401,790.04
  5. Step 5: Solve for x
    x = 13,752,401,790.04/130,228.47
  6. Step 6: Final answer
    x = 105,602.11

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1.5x scale

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.