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Finding the Fourth Proportional to 256,666.95, 385,066.04 and 98,853.03

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Solution

The fourth proportional to 256,666.95, 385,066.04 and 98,853.03 is: 148,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,666.95 : 385,066.04 = 98,853.03 : x
  2. Step 2: Convert to fraction form
    256,666.95/385,066.04 = 98,853.03/x
  3. Step 3: Cross multiply
    256,666.95x = 385,066.04 × 98,853.03
  4. Step 4: Simplify right side
    256,666.95x = 38,064,944,309.84
  5. Step 5: Solve for x
    x = 38,064,944,309.84/256,666.95
  6. Step 6: Final answer
    x = 148,304.81

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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.