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Finding the Fourth Proportional to 186,308.10, 257,106.15 and 101,425.77

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Solution

The fourth proportional to 186,308.10, 257,106.15 and 101,425.77 is: 139,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,308.10 : 257,106.15 = 101,425.77 : x
  2. Step 2: Convert to fraction form
    186,308.10/257,106.15 = 101,425.77/x
  3. Step 3: Cross multiply
    186,308.10x = 257,106.15 × 101,425.77
  4. Step 4: Simplify right side
    186,308.10x = 26,077,189,235.49
  5. Step 5: Solve for x
    x = 26,077,189,235.49/186,308.10
  6. Step 6: Final answer
    x = 139,968.09

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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.