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Finding the Fourth Proportional to 64,709.76, 97,064.71 and 20,340.39

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Solution

The fourth proportional to 64,709.76, 97,064.71 and 20,340.39 is: 30,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,709.76 : 97,064.71 = 20,340.39 : x
  2. Step 2: Convert to fraction form
    64,709.76/97,064.71 = 20,340.39/x
  3. Step 3: Cross multiply
    64,709.76x = 97,064.71 × 20,340.39
  4. Step 4: Simplify right side
    64,709.76x = 1,974,334,005.79
  5. Step 5: Solve for x
    x = 1,974,334,005.79/64,709.76
  6. Step 6: Final answer
    x = 30,510.61

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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.