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Finding the Fourth Proportional to 78,191.88, 107,902.16 and 46,341.88

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Solution

The fourth proportional to 78,191.88, 107,902.16 and 46,341.88 is: 63,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191.88 : 107,902.16 = 46,341.88 : x
  2. Step 2: Convert to fraction form
    78,191.88/107,902.16 = 46,341.88/x
  3. Step 3: Cross multiply
    78,191.88x = 107,902.16 × 46,341.88
  4. Step 4: Simplify right side
    78,191.88x = 5,000,388,950.46
  5. Step 5: Solve for x
    x = 5,000,388,950.46/78,191.88
  6. Step 6: Final answer
    x = 63,950.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.