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Finding the Fourth Proportional to 51,390, 70,925.76 and 30,180.96

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Solution

The fourth proportional to 51,390, 70,925.76 and 30,180.96 is: 41,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,390 : 70,925.76 = 30,180.96 : x
  2. Step 2: Convert to fraction form
    51,390/70,925.76 = 30,180.96/x
  3. Step 3: Cross multiply
    51,390x = 70,925.76 × 30,180.96
  4. Step 4: Simplify right side
    51,390x = 2,140,607,525.53
  5. Step 5: Solve for x
    x = 2,140,607,525.53/51,390
  6. Step 6: Final answer
    x = 41,654.16

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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.