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Finding the Fourth Proportional to 257,537.16, 355,437.72 and 142,841.16

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Solution

The fourth proportional to 257,537.16, 355,437.72 and 142,841.16 is: 197,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,537.16 : 355,437.72 = 142,841.16 : x
  2. Step 2: Convert to fraction form
    257,537.16/355,437.72 = 142,841.16/x
  3. Step 3: Cross multiply
    257,537.16x = 355,437.72 × 142,841.16
  4. Step 4: Simplify right side
    257,537.16x = 50,771,136,232.56
  5. Step 5: Solve for x
    x = 50,771,136,232.56/257,537.16
  6. Step 6: Final answer
    x = 197,141.01

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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.