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Finding the Fourth Proportional to 257,130.40, 385,695.60 and 70,141.60

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Solution

The fourth proportional to 257,130.40, 385,695.60 and 70,141.60 is: 105,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,130.40 : 385,695.60 = 70,141.60 : x
  2. Step 2: Convert to fraction form
    257,130.40/385,695.60 = 70,141.60/x
  3. Step 3: Cross multiply
    257,130.40x = 385,695.60 × 70,141.60
  4. Step 4: Simplify right side
    257,130.40x = 27,053,306,496.96
  5. Step 5: Solve for x
    x = 27,053,306,496.96/257,130.40
  6. Step 6: Final answer
    x = 105,212.40

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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.