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Finding the Fourth Proportional to 145,892.82, 218,862.54 and 61,653.78

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Solution

The fourth proportional to 145,892.82, 218,862.54 and 61,653.78 is: 92,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,892.82 : 218,862.54 = 61,653.78 : x
  2. Step 2: Convert to fraction form
    145,892.82/218,862.54 = 61,653.78/x
  3. Step 3: Cross multiply
    145,892.82x = 218,862.54 × 61,653.78
  4. Step 4: Simplify right side
    145,892.82x = 13,493,702,891.40
  5. Step 5: Solve for x
    x = 13,493,702,891.40/145,892.82
  6. Step 6: Final answer
    x = 92,490.52

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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.