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Finding the Fourth Proportional to 65,689.68, 98,448.66 and 57,348.48

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Solution

The fourth proportional to 65,689.68, 98,448.66 and 57,348.48 is: 85,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.68 : 98,448.66 = 57,348.48 : x
  2. Step 2: Convert to fraction form
    65,689.68/98,448.66 = 57,348.48/x
  3. Step 3: Cross multiply
    65,689.68x = 98,448.66 × 57,348.48
  4. Step 4: Simplify right side
    65,689.68x = 5,645,881,009.04
  5. Step 5: Solve for x
    x = 5,645,881,009.04/65,689.68
  6. Step 6: Final answer
    x = 85,947.76

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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.