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Finding the Fourth Proportional to 64,289, 96,438.36 and 19,920.23

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Solution

The fourth proportional to 64,289, 96,438.36 and 19,920.23 is: 29,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,289 : 96,438.36 = 19,920.23 : x
  2. Step 2: Convert to fraction form
    64,289/96,438.36 = 19,920.23/x
  3. Step 3: Cross multiply
    64,289x = 96,438.36 × 19,920.23
  4. Step 4: Simplify right side
    64,289x = 1,921,074,312.02
  5. Step 5: Solve for x
    x = 1,921,074,312.02/64,289
  6. Step 6: Final answer
    x = 29,881.85

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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.