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Finding the Fourth Proportional to 64,991.30, 97,402 and 47,039.98

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Solution

The fourth proportional to 64,991.30, 97,402 and 47,039.98 is: 70,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,991.30 : 97,402 = 47,039.98 : x
  2. Step 2: Convert to fraction form
    64,991.30/97,402 = 47,039.98/x
  3. Step 3: Cross multiply
    64,991.30x = 97,402 × 47,039.98
  4. Step 4: Simplify right side
    64,991.30x = 4,581,788,131.96
  5. Step 5: Solve for x
    x = 4,581,788,131.96/64,991.30
  6. Step 6: Final answer
    x = 70,498.48

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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.