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Finding the Fourth Proportional to 76,141.95, 105,068.64 and 45,508.96

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Solution

The fourth proportional to 76,141.95, 105,068.64 and 45,508.96 is: 62,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.95 : 105,068.64 = 45,508.96 : x
  2. Step 2: Convert to fraction form
    76,141.95/105,068.64 = 45,508.96/x
  3. Step 3: Cross multiply
    76,141.95x = 105,068.64 × 45,508.96
  4. Step 4: Simplify right side
    76,141.95x = 4,781,564,535.01
  5. Step 5: Solve for x
    x = 4,781,564,535.01/76,141.95
  6. Step 6: Final answer
    x = 62,798.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.