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Finding the Fourth Proportional to 256,668.95, 385,069.04 and 98,855.03

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Solution

The fourth proportional to 256,668.95, 385,069.04 and 98,855.03 is: 148,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668.95 : 385,069.04 = 98,855.03 : x
  2. Step 2: Convert to fraction form
    256,668.95/385,069.04 = 98,855.03/x
  3. Step 3: Cross multiply
    256,668.95x = 385,069.04 × 98,855.03
  4. Step 4: Simplify right side
    256,668.95x = 38,066,011,501.27
  5. Step 5: Solve for x
    x = 38,066,011,501.27/256,668.95
  6. Step 6: Final answer
    x = 148,307.82

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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.