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Finding the Fourth Proportional to 78,213.33, 107,934.32 and 42,403.03

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Solution

The fourth proportional to 78,213.33, 107,934.32 and 42,403.03 is: 58,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,213.33 : 107,934.32 = 42,403.03 : x
  2. Step 2: Convert to fraction form
    78,213.33/107,934.32 = 42,403.03/x
  3. Step 3: Cross multiply
    78,213.33x = 107,934.32 × 42,403.03
  4. Step 4: Simplify right side
    78,213.33x = 4,576,742,045.16
  5. Step 5: Solve for x
    x = 4,576,742,045.16/78,213.33
  6. Step 6: Final answer
    x = 58,516.14

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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.