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Finding the Fourth Proportional to 64,756.86, 97,142.25 and 20,384.94

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Solution

The fourth proportional to 64,756.86, 97,142.25 and 20,384.94 is: 30,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,756.86 : 97,142.25 = 20,384.94 : x
  2. Step 2: Convert to fraction form
    64,756.86/97,142.25 = 20,384.94/x
  3. Step 3: Cross multiply
    64,756.86x = 97,142.25 × 20,384.94
  4. Step 4: Simplify right side
    64,756.86x = 1,980,238,937.72
  5. Step 5: Solve for x
    x = 1,980,238,937.72/64,756.86
  6. Step 6: Final answer
    x = 30,579.60

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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.