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Finding the Fourth Proportional to 86,815.90, 130,223.85 and 85,894.30

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Solution

The fourth proportional to 86,815.90, 130,223.85 and 85,894.30 is: 128,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,815.90 : 130,223.85 = 85,894.30 : x
  2. Step 2: Convert to fraction form
    86,815.90/130,223.85 = 85,894.30/x
  3. Step 3: Cross multiply
    86,815.90x = 130,223.85 × 85,894.30
  4. Step 4: Simplify right side
    86,815.90x = 11,185,486,439.06
  5. Step 5: Solve for x
    x = 11,185,486,439.06/86,815.90
  6. Step 6: Final answer
    x = 128,841.45

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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.