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Finding the Fourth Proportional to 64,870.96, 97,309.34 and 19,889.08

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Solution

The fourth proportional to 64,870.96, 97,309.34 and 19,889.08 is: 29,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870.96 : 97,309.34 = 19,889.08 : x
  2. Step 2: Convert to fraction form
    64,870.96/97,309.34 = 19,889.08/x
  3. Step 3: Cross multiply
    64,870.96x = 97,309.34 × 19,889.08
  4. Step 4: Simplify right side
    64,870.96x = 1,935,393,248.01
  5. Step 5: Solve for x
    x = 1,935,393,248.01/64,870.96
  6. Step 6: Final answer
    x = 29,834.51

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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.