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Finding the Fourth Proportional to 77,869.68, 116,811 and 46,901.76

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Solution

The fourth proportional to 77,869.68, 116,811 and 46,901.76 is: 70,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869.68 : 116,811 = 46,901.76 : x
  2. Step 2: Convert to fraction form
    77,869.68/116,811 = 46,901.76/x
  3. Step 3: Cross multiply
    77,869.68x = 116,811 × 46,901.76
  4. Step 4: Simplify right side
    77,869.68x = 5,478,641,487.36
  5. Step 5: Solve for x
    x = 5,478,641,487.36/77,869.68
  6. Step 6: Final answer
    x = 70,356.54

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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.