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Finding the Fourth Proportional to 147,497.76, 203,547 and 80,429.76

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Solution

The fourth proportional to 147,497.76, 203,547 and 80,429.76 is: 110,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,497.76 : 203,547 = 80,429.76 : x
  2. Step 2: Convert to fraction form
    147,497.76/203,547 = 80,429.76/x
  3. Step 3: Cross multiply
    147,497.76x = 203,547 × 80,429.76
  4. Step 4: Simplify right side
    147,497.76x = 16,371,236,358.72
  5. Step 5: Solve for x
    x = 16,371,236,358.72/147,497.76
  6. Step 6: Final answer
    x = 110,993.12

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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.