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Finding the Fourth Proportional to 100,946.55, 151,255.80 and 86,840.40

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Solution

The fourth proportional to 100,946.55, 151,255.80 and 86,840.40 is: 130,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946.55 : 151,255.80 = 86,840.40 : x
  2. Step 2: Convert to fraction form
    100,946.55/151,255.80 = 86,840.40/x
  3. Step 3: Cross multiply
    100,946.55x = 151,255.80 × 86,840.40
  4. Step 4: Simplify right side
    100,946.55x = 13,135,114,174.32
  5. Step 5: Solve for x
    x = 13,135,114,174.32/100,946.55
  6. Step 6: Final answer
    x = 130,119.50

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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.