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Finding the Fourth Proportional to 78,703.65, 117,889.02 and 63,646.16

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Solution

The fourth proportional to 78,703.65, 117,889.02 and 63,646.16 is: 95,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,703.65 : 117,889.02 = 63,646.16 : x
  2. Step 2: Convert to fraction form
    78,703.65/117,889.02 = 63,646.16/x
  3. Step 3: Cross multiply
    78,703.65x = 117,889.02 × 63,646.16
  4. Step 4: Simplify right side
    78,703.65x = 7,503,182,839.72
  5. Step 5: Solve for x
    x = 7,503,182,839.72/78,703.65
  6. Step 6: Final answer
    x = 95,334.62

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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.