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Finding the Fourth Proportional to 64,890.72, 97,316.64 and 23,328

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Solution

The fourth proportional to 64,890.72, 97,316.64 and 23,328 is: 34,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,890.72 : 97,316.64 = 23,328 : x
  2. Step 2: Convert to fraction form
    64,890.72/97,316.64 = 23,328/x
  3. Step 3: Cross multiply
    64,890.72x = 97,316.64 × 23,328
  4. Step 4: Simplify right side
    64,890.72x = 2,270,202,577.92
  5. Step 5: Solve for x
    x = 2,270,202,577.92/64,890.72
  6. Step 6: Final answer
    x = 34,985.01

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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.