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Finding the Fourth Proportional to 78,010.40, 107,654.02 and 42,200.32

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Solution

The fourth proportional to 78,010.40, 107,654.02 and 42,200.32 is: 58,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,010.40 : 107,654.02 = 42,200.32 : x
  2. Step 2: Convert to fraction form
    78,010.40/107,654.02 = 42,200.32/x
  3. Step 3: Cross multiply
    78,010.40x = 107,654.02 × 42,200.32
  4. Step 4: Simplify right side
    78,010.40x = 4,543,033,344.01
  5. Step 5: Solve for x
    x = 4,543,033,344.01/78,010.40
  6. Step 6: Final answer
    x = 58,236.26

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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.