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Finding the Fourth Proportional to 206,643.47, 285,094.64 and 135,064.76

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Solution

The fourth proportional to 206,643.47, 285,094.64 and 135,064.76 is: 186,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,643.47 : 285,094.64 = 135,064.76 : x
  2. Step 2: Convert to fraction form
    206,643.47/285,094.64 = 135,064.76/x
  3. Step 3: Cross multiply
    206,643.47x = 285,094.64 × 135,064.76
  4. Step 4: Simplify right side
    206,643.47x = 38,506,238,041.08
  5. Step 5: Solve for x
    x = 38,506,238,041.08/206,643.47
  6. Step 6: Final answer
    x = 186,341.43

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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.