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Finding the Fourth Proportional to 185,628.40, 278,296.80 and 102,522.40

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Solution

The fourth proportional to 185,628.40, 278,296.80 and 102,522.40 is: 153,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,628.40 : 278,296.80 = 102,522.40 : x
  2. Step 2: Convert to fraction form
    185,628.40/278,296.80 = 102,522.40/x
  3. Step 3: Cross multiply
    185,628.40x = 278,296.80 × 102,522.40
  4. Step 4: Simplify right side
    185,628.40x = 28,531,655,848.32
  5. Step 5: Solve for x
    x = 28,531,655,848.32/185,628.40
  6. Step 6: Final answer
    x = 153,703.07

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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.