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Finding the Fourth Proportional to 195,394.43, 292,938.53 and 77,154.28

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Solution

The fourth proportional to 195,394.43, 292,938.53 and 77,154.28 is: 115,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,394.43 : 292,938.53 = 77,154.28 : x
  2. Step 2: Convert to fraction form
    195,394.43/292,938.53 = 77,154.28/x
  3. Step 3: Cross multiply
    195,394.43x = 292,938.53 × 77,154.28
  4. Step 4: Simplify right side
    195,394.43x = 22,601,459,901.72
  5. Step 5: Solve for x
    x = 22,601,459,901.72/195,394.43
  6. Step 6: Final answer
    x = 115,670.95

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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.