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Finding the Fourth Proportional to 51,978.40, 77,852.40 and 40,253.60

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Solution

The fourth proportional to 51,978.40, 77,852.40 and 40,253.60 is: 60,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.40 : 77,852.40 = 40,253.60 : x
  2. Step 2: Convert to fraction form
    51,978.40/77,852.40 = 40,253.60/x
  3. Step 3: Cross multiply
    51,978.40x = 77,852.40 × 40,253.60
  4. Step 4: Simplify right side
    51,978.40x = 3,133,839,368.64
  5. Step 5: Solve for x
    x = 3,133,839,368.64/51,978.40
  6. Step 6: Final answer
    x = 60,291.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.