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Finding the Fourth Proportional to 186,642.10, 257,472.48 and 118,548.01

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Solution

The fourth proportional to 186,642.10, 257,472.48 and 118,548.01 is: 163,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642.10 : 257,472.48 = 118,548.01 : x
  2. Step 2: Convert to fraction form
    186,642.10/257,472.48 = 118,548.01/x
  3. Step 3: Cross multiply
    186,642.10x = 257,472.48 × 118,548.01
  4. Step 4: Simplify right side
    186,642.10x = 30,522,850,133.76
  5. Step 5: Solve for x
    x = 30,522,850,133.76/186,642.10
  6. Step 6: Final answer
    x = 163,536.79

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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.