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Finding the Fourth Proportional to 64,017.29, 96,045.15 and 30,309

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Solution

The fourth proportional to 64,017.29, 96,045.15 and 30,309 is: 45,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017.29 : 96,045.15 = 30,309 : x
  2. Step 2: Convert to fraction form
    64,017.29/96,045.15 = 30,309/x
  3. Step 3: Cross multiply
    64,017.29x = 96,045.15 × 30,309
  4. Step 4: Simplify right side
    64,017.29x = 2,911,032,451.35
  5. Step 5: Solve for x
    x = 2,911,032,451.35/64,017.29
  6. Step 6: Final answer
    x = 45,472.60

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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.