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Finding the Fourth Proportional to 255,472.94, 382,971.14 and 86,878.06

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Solution

The fourth proportional to 255,472.94, 382,971.14 and 86,878.06 is: 130,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,472.94 : 382,971.14 = 86,878.06 : x
  2. Step 2: Convert to fraction form
    255,472.94/382,971.14 = 86,878.06/x
  3. Step 3: Cross multiply
    255,472.94x = 382,971.14 × 86,878.06
  4. Step 4: Simplify right side
    255,472.94x = 33,271,788,613.16
  5. Step 5: Solve for x
    x = 33,271,788,613.16/255,472.94
  6. Step 6: Final answer
    x = 130,236.06

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1.5x scale

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.