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Finding the Fourth Proportional to 186,330.91, 257,123.68 and 105,760.08

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Solution

The fourth proportional to 186,330.91, 257,123.68 and 105,760.08 is: 145,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,330.91 : 257,123.68 = 105,760.08 : x
  2. Step 2: Convert to fraction form
    186,330.91/257,123.68 = 105,760.08/x
  3. Step 3: Cross multiply
    186,330.91x = 257,123.68 × 105,760.08
  4. Step 4: Simplify right side
    186,330.91x = 27,193,420,966.69
  5. Step 5: Solve for x
    x = 27,193,420,966.69/186,330.91
  6. Step 6: Final answer
    x = 145,941.55

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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.