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Finding the Fourth Proportional to 78,152.51, 107,850.54 and 42,342.21

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Solution

The fourth proportional to 78,152.51, 107,850.54 and 42,342.21 is: 58,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,152.51 : 107,850.54 = 42,342.21 : x
  2. Step 2: Convert to fraction form
    78,152.51/107,850.54 = 42,342.21/x
  3. Step 3: Cross multiply
    78,152.51x = 107,850.54 × 42,342.21
  4. Step 4: Simplify right side
    78,152.51x = 4,566,630,213.29
  5. Step 5: Solve for x
    x = 4,566,630,213.29/78,152.51
  6. Step 6: Final answer
    x = 58,432.29

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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.