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Finding the Fourth Proportional to 257,656.02, 386,089.89 and 137,730.03

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Solution

The fourth proportional to 257,656.02, 386,089.89 and 137,730.03 is: 206,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,656.02 : 386,089.89 = 137,730.03 : x
  2. Step 2: Convert to fraction form
    257,656.02/386,089.89 = 137,730.03/x
  3. Step 3: Cross multiply
    257,656.02x = 386,089.89 × 137,730.03
  4. Step 4: Simplify right side
    257,656.02x = 53,176,172,132.40
  5. Step 5: Solve for x
    x = 53,176,172,132.40/257,656.02
  6. Step 6: Final answer
    x = 206,384.36

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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.