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Finding the Fourth Proportional to 64,549, 96,823.50 and 20,773

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Solution

The fourth proportional to 64,549, 96,823.50 and 20,773 is: 31,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,549 : 96,823.50 = 20,773 : x
  2. Step 2: Convert to fraction form
    64,549/96,823.50 = 20,773/x
  3. Step 3: Cross multiply
    64,549x = 96,823.50 × 20,773
  4. Step 4: Simplify right side
    64,549x = 2,011,314,565.50
  5. Step 5: Solve for x
    x = 2,011,314,565.50/64,549
  6. Step 6: Final answer
    x = 31,159.50

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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.