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Finding the Fourth Proportional to 64,947.68, 89,674.80 and 42,656.48

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Solution

The fourth proportional to 64,947.68, 89,674.80 and 42,656.48 is: 58,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,947.68 : 89,674.80 = 42,656.48 : x
  2. Step 2: Convert to fraction form
    64,947.68/89,674.80 = 42,656.48/x
  3. Step 3: Cross multiply
    64,947.68x = 89,674.80 × 42,656.48
  4. Step 4: Simplify right side
    64,947.68x = 3,825,211,312.70
  5. Step 5: Solve for x
    x = 3,825,211,312.70/64,947.68
  6. Step 6: Final answer
    x = 58,896.81

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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.