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Finding the Fourth Proportional to 73,776, 101,810.88 and 40,242

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Solution

The fourth proportional to 73,776, 101,810.88 and 40,242 is: 55,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,776 : 101,810.88 = 40,242 : x
  2. Step 2: Convert to fraction form
    73,776/101,810.88 = 40,242/x
  3. Step 3: Cross multiply
    73,776x = 101,810.88 × 40,242
  4. Step 4: Simplify right side
    73,776x = 4,097,073,432.96
  5. Step 5: Solve for x
    x = 4,097,073,432.96/73,776
  6. Step 6: Final answer
    x = 55,533.96

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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.