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Finding the Fourth Proportional to 215,802.40, 323,626.80 and 97,530.40

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Solution

The fourth proportional to 215,802.40, 323,626.80 and 97,530.40 is: 146,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,802.40 : 323,626.80 = 97,530.40 : x
  2. Step 2: Convert to fraction form
    215,802.40/323,626.80 = 97,530.40/x
  3. Step 3: Cross multiply
    215,802.40x = 323,626.80 × 97,530.40
  4. Step 4: Simplify right side
    215,802.40x = 31,563,451,254.72
  5. Step 5: Solve for x
    x = 31,563,451,254.72/215,802.40
  6. Step 6: Final answer
    x = 146,260.89

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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.