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Finding the Fourth Proportional to 215,689.40, 323,569.74 and 97,358.12

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Solution

The fourth proportional to 215,689.40, 323,569.74 and 97,358.12 is: 146,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,689.40 : 323,569.74 = 97,358.12 : x
  2. Step 2: Convert to fraction form
    215,689.40/323,569.74 = 97,358.12/x
  3. Step 3: Cross multiply
    215,689.40x = 323,569.74 × 97,358.12
  4. Step 4: Simplify right side
    215,689.40x = 31,502,141,575.29
  5. Step 5: Solve for x
    x = 31,502,141,575.29/215,689.40
  6. Step 6: Final answer
    x = 146,053.27

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1.5x scale

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.