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Finding the Fourth Proportional to 102,606.40, 153,909.60 and 92,238.40

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Solution

The fourth proportional to 102,606.40, 153,909.60 and 92,238.40 is: 138,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606.40 : 153,909.60 = 92,238.40 : x
  2. Step 2: Convert to fraction form
    102,606.40/153,909.60 = 92,238.40/x
  3. Step 3: Cross multiply
    102,606.40x = 153,909.60 × 92,238.40
  4. Step 4: Simplify right side
    102,606.40x = 14,196,375,248.64
  5. Step 5: Solve for x
    x = 14,196,375,248.64/102,606.40
  6. Step 6: Final answer
    x = 138,357.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.