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Finding the Fourth Proportional to 145,957.30, 219,022.42 and 61,712.86

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Solution

The fourth proportional to 145,957.30, 219,022.42 and 61,712.86 is: 92,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.30 : 219,022.42 = 61,712.86 : x
  2. Step 2: Convert to fraction form
    145,957.30/219,022.42 = 61,712.86/x
  3. Step 3: Cross multiply
    145,957.30x = 219,022.42 × 61,712.86
  4. Step 4: Simplify right side
    145,957.30x = 13,516,499,942.32
  5. Step 5: Solve for x
    x = 13,516,499,942.32/145,957.30
  6. Step 6: Final answer
    x = 92,605.85

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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.