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Finding the Fourth Proportional to 78,235.90, 107,925.54 and 49,507.22

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Solution

The fourth proportional to 78,235.90, 107,925.54 and 49,507.22 is: 68,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,235.90 : 107,925.54 = 49,507.22 : x
  2. Step 2: Convert to fraction form
    78,235.90/107,925.54 = 49,507.22/x
  3. Step 3: Cross multiply
    78,235.90x = 107,925.54 × 49,507.22
  4. Step 4: Simplify right side
    78,235.90x = 5,343,093,452.40
  5. Step 5: Solve for x
    x = 5,343,093,452.40/78,235.90
  6. Step 6: Final answer
    x = 68,294.65

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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.