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Finding the Fourth Proportional to 64,998, 97,497 and 15,750

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Solution

The fourth proportional to 64,998, 97,497 and 15,750 is: 23,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998 : 97,497 = 15,750 : x
  2. Step 2: Convert to fraction form
    64,998/97,497 = 15,750/x
  3. Step 3: Cross multiply
    64,998x = 97,497 × 15,750
  4. Step 4: Simplify right side
    64,998x = 1,535,577,750
  5. Step 5: Solve for x
    x = 1,535,577,750/64,998
  6. Step 6: Final answer
    x = 23,625

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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.