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Finding the Fourth Proportional to 78,190.38, 107,900.10 and 46,340.37

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Solution

The fourth proportional to 78,190.38, 107,900.10 and 46,340.37 is: 63,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190.38 : 107,900.10 = 46,340.37 : x
  2. Step 2: Convert to fraction form
    78,190.38/107,900.10 = 46,340.37/x
  3. Step 3: Cross multiply
    78,190.38x = 107,900.10 × 46,340.37
  4. Step 4: Simplify right side
    78,190.38x = 5,000,130,557.04
  5. Step 5: Solve for x
    x = 5,000,130,557.04/78,190.38
  6. Step 6: Final answer
    x = 63,948.16

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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.