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Finding the Fourth Proportional to 153,141.83, 229,712.76 and 47,969

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Solution

The fourth proportional to 153,141.83, 229,712.76 and 47,969 is: 71,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,141.83 : 229,712.76 = 47,969 : x
  2. Step 2: Convert to fraction form
    153,141.83/229,712.76 = 47,969/x
  3. Step 3: Cross multiply
    153,141.83x = 229,712.76 × 47,969
  4. Step 4: Simplify right side
    153,141.83x = 11,019,091,384.44
  5. Step 5: Solve for x
    x = 11,019,091,384.44/153,141.83
  6. Step 6: Final answer
    x = 71,953.50

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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.