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Finding the Fourth Proportional to 195,437.40, 292,940.10 and 77,069.40

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Solution

The fourth proportional to 195,437.40, 292,940.10 and 77,069.40 is: 115,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,437.40 : 292,940.10 = 77,069.40 : x
  2. Step 2: Convert to fraction form
    195,437.40/292,940.10 = 77,069.40/x
  3. Step 3: Cross multiply
    195,437.40x = 292,940.10 × 77,069.40
  4. Step 4: Simplify right side
    195,437.40x = 22,576,717,742.94
  5. Step 5: Solve for x
    x = 22,576,717,742.94/195,437.40
  6. Step 6: Final answer
    x = 115,518.92

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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.