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Finding the Fourth Proportional to 153,488.88, 229,808.16 and 78,447.45

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Solution

The fourth proportional to 153,488.88, 229,808.16 and 78,447.45 is: 117,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,488.88 : 229,808.16 = 78,447.45 : x
  2. Step 2: Convert to fraction form
    153,488.88/229,808.16 = 78,447.45/x
  3. Step 3: Cross multiply
    153,488.88x = 229,808.16 × 78,447.45
  4. Step 4: Simplify right side
    153,488.88x = 18,027,864,141.19
  5. Step 5: Solve for x
    x = 18,027,864,141.19/153,488.88
  6. Step 6: Final answer
    x = 117,453.88

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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.