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Finding the Fourth Proportional to 285,062.56, 427,589.36 and 98,075.68

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Solution

The fourth proportional to 285,062.56, 427,589.36 and 98,075.68 is: 147,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,062.56 : 427,589.36 = 98,075.68 : x
  2. Step 2: Convert to fraction form
    285,062.56/427,589.36 = 98,075.68/x
  3. Step 3: Cross multiply
    285,062.56x = 427,589.36 × 98,075.68
  4. Step 4: Simplify right side
    285,062.56x = 41,936,117,242.76
  5. Step 5: Solve for x
    x = 41,936,117,242.76/285,062.56
  6. Step 6: Final answer
    x = 147,111.98

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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.