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Finding the Fourth Proportional to 51,092.68, 70,509.88 and 30,938.16

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Solution

The fourth proportional to 51,092.68, 70,509.88 and 30,938.16 is: 42,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,092.68 : 70,509.88 = 30,938.16 : x
  2. Step 2: Convert to fraction form
    51,092.68/70,509.88 = 30,938.16/x
  3. Step 3: Cross multiply
    51,092.68x = 70,509.88 × 30,938.16
  4. Step 4: Simplify right side
    51,092.68x = 2,181,445,949.02
  5. Step 5: Solve for x
    x = 2,181,445,949.02/51,092.68
  6. Step 6: Final answer
    x = 42,695.86

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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.