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Finding the Fourth Proportional to 215,291.68, 322,950.72 and 65,543.08

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Solution

The fourth proportional to 215,291.68, 322,950.72 and 65,543.08 is: 98,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,291.68 : 322,950.72 = 65,543.08 : x
  2. Step 2: Convert to fraction form
    215,291.68/322,950.72 = 65,543.08/x
  3. Step 3: Cross multiply
    215,291.68x = 322,950.72 × 65,543.08
  4. Step 4: Simplify right side
    215,291.68x = 21,167,184,877.02
  5. Step 5: Solve for x
    x = 21,167,184,877.02/215,291.68
  6. Step 6: Final answer
    x = 98,318.64

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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.