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Finding the Fourth Proportional to 103,075.20, 142,243.20 and 58,363.20

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Solution

The fourth proportional to 103,075.20, 142,243.20 and 58,363.20 is: 80,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,075.20 : 142,243.20 = 58,363.20 : x
  2. Step 2: Convert to fraction form
    103,075.20/142,243.20 = 58,363.20/x
  3. Step 3: Cross multiply
    103,075.20x = 142,243.20 × 58,363.20
  4. Step 4: Simplify right side
    103,075.20x = 8,301,768,330.24
  5. Step 5: Solve for x
    x = 8,301,768,330.24/103,075.20
  6. Step 6: Final answer
    x = 80,540.89

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1.5x scale

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.