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Finding the Fourth Proportional to 145,756.35, 201,075.03 and 85,289.90

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Solution

The fourth proportional to 145,756.35, 201,075.03 and 85,289.90 is: 117,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,756.35 : 201,075.03 = 85,289.90 : x
  2. Step 2: Convert to fraction form
    145,756.35/201,075.03 = 85,289.90/x
  3. Step 3: Cross multiply
    145,756.35x = 201,075.03 × 85,289.90
  4. Step 4: Simplify right side
    145,756.35x = 17,149,668,195.82
  5. Step 5: Solve for x
    x = 17,149,668,195.82/145,756.35
  6. Step 6: Final answer
    x = 117,659.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.