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Finding the Fourth Proportional to 82,903.76, 114,407.20 and 45,178

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Solution

The fourth proportional to 82,903.76, 114,407.20 and 45,178 is: 62,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.76 : 114,407.20 = 45,178 : x
  2. Step 2: Convert to fraction form
    82,903.76/114,407.20 = 45,178/x
  3. Step 3: Cross multiply
    82,903.76x = 114,407.20 × 45,178
  4. Step 4: Simplify right side
    82,903.76x = 5,168,688,481.60
  5. Step 5: Solve for x
    x = 5,168,688,481.60/82,903.76
  6. Step 6: Final answer
    x = 62,345.65

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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.