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Finding the Fourth Proportional to 72,734.34, 100,374.76 and 42,522.24

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Solution

The fourth proportional to 72,734.34, 100,374.76 and 42,522.24 is: 58,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,734.34 : 100,374.76 = 42,522.24 : x
  2. Step 2: Convert to fraction form
    72,734.34/100,374.76 = 42,522.24/x
  3. Step 3: Cross multiply
    72,734.34x = 100,374.76 × 42,522.24
  4. Step 4: Simplify right side
    72,734.34x = 4,268,159,634.66
  5. Step 5: Solve for x
    x = 4,268,159,634.66/72,734.34
  6. Step 6: Final answer
    x = 58,681.49

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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.