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Finding the Fourth Proportional to 186,710.72, 257,659.62 and 106,138.24

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Solution

The fourth proportional to 186,710.72, 257,659.62 and 106,138.24 is: 146,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,710.72 : 257,659.62 = 106,138.24 : x
  2. Step 2: Convert to fraction form
    186,710.72/257,659.62 = 106,138.24/x
  3. Step 3: Cross multiply
    186,710.72x = 257,659.62 × 106,138.24
  4. Step 4: Simplify right side
    186,710.72x = 27,347,537,543.70
  5. Step 5: Solve for x
    x = 27,347,537,543.70/186,710.72
  6. Step 6: Final answer
    x = 146,470.10

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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.