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Finding the Fourth Proportional to 64,852.69, 97,282.02 and 19,870.82

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Solution

The fourth proportional to 64,852.69, 97,282.02 and 19,870.82 is: 29,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,852.69 : 97,282.02 = 19,870.82 : x
  2. Step 2: Convert to fraction form
    64,852.69/97,282.02 = 19,870.82/x
  3. Step 3: Cross multiply
    64,852.69x = 97,282.02 × 19,870.82
  4. Step 4: Simplify right side
    64,852.69x = 1,933,073,751.86
  5. Step 5: Solve for x
    x = 1,933,073,751.86/64,852.69
  6. Step 6: Final answer
    x = 29,807.15

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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.